SlideShare a Scribd company logo
1 of 3
LINEAR
DIFFERENTIAL
EQUATIONS
E.CHAITHANYA
KUMAR
23H51A6713
CSD-A
HISTORY
• The history of linear differential equations is rooted in
the evolution of calculus and the exploration of
mathematical models describing change. Building on
ancient Greek foundations, pioneers like Newton and
Leibniz formulated the principles of calculus in the
17th century. This provided initial tools for solving
differential equations, though practical methods were
limited. In the 18th century, Euler and Clairaut made
substantial strides, introducing concepts like
integrating factors and devising techniques to solve
various differential equation types. Daniel Bernoulli
and Pierre-Simon Laplace further advanced the field,
with Laplace's contributions extending to both ordinary
and partial differential equations, laying groundwork
for transformative techniques like the Laplace
UNDERSTANDING LINEAR DIFFERENTIAL EQUATIONS.pptx

More Related Content

Similar to UNDERSTANDING LINEAR DIFFERENTIAL EQUATIONS.pptx

Science and contribution of mathematics in its development
Science and contribution of mathematics in its developmentScience and contribution of mathematics in its development
Science and contribution of mathematics in its developmentFernando Alcoforado
 
Mathematics and science 17th and 18th Century
Mathematics and science 17th and 18th CenturyMathematics and science 17th and 18th Century
Mathematics and science 17th and 18th CenturyJasonDelaCruz20
 
18th CENTURY MATHEMATICS
18th CENTURY MATHEMATICS18th CENTURY MATHEMATICS
18th CENTURY MATHEMATICSHeidemae Remata
 
Línea del tiempo
Línea del tiempoLínea del tiempo
Línea del tiempoYeferson11
 
Scientific revolution and age of reason
Scientific revolution and age of reasonScientific revolution and age of reason
Scientific revolution and age of reasonJoe McClung
 
scientific_discoveries_and_invention_fro.pptx
scientific_discoveries_and_invention_fro.pptxscientific_discoveries_and_invention_fro.pptx
scientific_discoveries_and_invention_fro.pptxRumisAhmet
 
History and Application of Calculus Qalab Abbas 04.pdf
History and Application of Calculus Qalab Abbas 04.pdfHistory and Application of Calculus Qalab Abbas 04.pdf
History and Application of Calculus Qalab Abbas 04.pdfAlifahadHussain
 
CHİNESE MATHEMATCS
CHİNESE MATHEMATCSCHİNESE MATHEMATCS
CHİNESE MATHEMATCSHülya Sarı
 
CHINESE MATHEMATICS HOMEWORK
CHINESE MATHEMATICS HOMEWORKCHINESE MATHEMATICS HOMEWORK
CHINESE MATHEMATICS HOMEWORKHülya Sarı
 
CHINESE MATHEMATICS HOMEWORK
CHINESE MATHEMATICS HOMEWORKCHINESE MATHEMATICS HOMEWORK
CHINESE MATHEMATICS HOMEWORKHülya Sarı
 
The history of calculus
The history of calculusThe history of calculus
The history of calculuspouline16
 
Its all about history of math
Its all about history of mathIts all about history of math
Its all about history of mathJunila Tejada
 
History of Calculus
History of CalculusHistory of Calculus
History of CalculusRowel Adane
 
CHINESE MATHEMATICS HOMEWORK
CHINESE MATHEMATICS HOMEWORKCHINESE MATHEMATICS HOMEWORK
CHINESE MATHEMATICS HOMEWORKHülya Sarı
 

Similar to UNDERSTANDING LINEAR DIFFERENTIAL EQUATIONS.pptx (17)

Science and contribution of mathematics in its development
Science and contribution of mathematics in its developmentScience and contribution of mathematics in its development
Science and contribution of mathematics in its development
 
Mathematics and science 17th and 18th Century
Mathematics and science 17th and 18th CenturyMathematics and science 17th and 18th Century
Mathematics and science 17th and 18th Century
 
18th CENTURY MATHEMATICS
18th CENTURY MATHEMATICS18th CENTURY MATHEMATICS
18th CENTURY MATHEMATICS
 
Línea del tiempo
Línea del tiempoLínea del tiempo
Línea del tiempo
 
Scientific revolution and age of reason
Scientific revolution and age of reasonScientific revolution and age of reason
Scientific revolution and age of reason
 
scientific_discoveries_and_invention_fro.pptx
scientific_discoveries_and_invention_fro.pptxscientific_discoveries_and_invention_fro.pptx
scientific_discoveries_and_invention_fro.pptx
 
History and Application of Calculus Qalab Abbas 04.pdf
History and Application of Calculus Qalab Abbas 04.pdfHistory and Application of Calculus Qalab Abbas 04.pdf
History and Application of Calculus Qalab Abbas 04.pdf
 
İİ
 
CHİNESE MATHEMATCS
CHİNESE MATHEMATCSCHİNESE MATHEMATCS
CHİNESE MATHEMATCS
 
CHINESE MATHEMATICS HOMEWORK
CHINESE MATHEMATICS HOMEWORKCHINESE MATHEMATICS HOMEWORK
CHINESE MATHEMATICS HOMEWORK
 
CHINESE MATHEMATICS HOMEWORK
CHINESE MATHEMATICS HOMEWORKCHINESE MATHEMATICS HOMEWORK
CHINESE MATHEMATICS HOMEWORK
 
The history of calculus
The history of calculusThe history of calculus
The history of calculus
 
Its all about history of math
Its all about history of mathIts all about history of math
Its all about history of math
 
History of Calculus
History of CalculusHistory of Calculus
History of Calculus
 
Contribution of mathematicians by Pratima Nayak
Contribution of mathematicians by Pratima NayakContribution of mathematicians by Pratima Nayak
Contribution of mathematicians by Pratima Nayak
 
Scientists
ScientistsScientists
Scientists
 
CHINESE MATHEMATICS HOMEWORK
CHINESE MATHEMATICS HOMEWORKCHINESE MATHEMATICS HOMEWORK
CHINESE MATHEMATICS HOMEWORK
 

Recently uploaded

15-Minute City: A Completely New Horizon
15-Minute City: A Completely New Horizon15-Minute City: A Completely New Horizon
15-Minute City: A Completely New HorizonMorshed Ahmed Rahath
 
Geometric constructions Engineering Drawing.pdf
Geometric constructions Engineering Drawing.pdfGeometric constructions Engineering Drawing.pdf
Geometric constructions Engineering Drawing.pdfJNTUA
 
ChatGPT Prompt Engineering for project managers.pdf
ChatGPT Prompt Engineering for project managers.pdfChatGPT Prompt Engineering for project managers.pdf
ChatGPT Prompt Engineering for project managers.pdfqasastareekh
 
Maher Othman Interior Design Portfolio..
Maher Othman Interior Design Portfolio..Maher Othman Interior Design Portfolio..
Maher Othman Interior Design Portfolio..MaherOthman7
 
How to Design and spec harmonic filter.pdf
How to Design and spec harmonic filter.pdfHow to Design and spec harmonic filter.pdf
How to Design and spec harmonic filter.pdftawat puangthong
 
Piping and instrumentation diagram p.pdf
Piping and instrumentation diagram p.pdfPiping and instrumentation diagram p.pdf
Piping and instrumentation diagram p.pdfAshrafRagab14
 
Circuit Breaker arc phenomenon.pdf engineering
Circuit Breaker arc phenomenon.pdf engineeringCircuit Breaker arc phenomenon.pdf engineering
Circuit Breaker arc phenomenon.pdf engineeringKanchhaTamang
 
Fabrication Of Automatic Star Delta Starter Using Relay And GSM Module By Utk...
Fabrication Of Automatic Star Delta Starter Using Relay And GSM Module By Utk...Fabrication Of Automatic Star Delta Starter Using Relay And GSM Module By Utk...
Fabrication Of Automatic Star Delta Starter Using Relay And GSM Module By Utk...ShivamTiwari995432
 
BRAKING SYSTEM IN INDIAN RAILWAY AutoCAD DRAWING
BRAKING SYSTEM IN INDIAN RAILWAY AutoCAD DRAWINGBRAKING SYSTEM IN INDIAN RAILWAY AutoCAD DRAWING
BRAKING SYSTEM IN INDIAN RAILWAY AutoCAD DRAWINGKOUSTAV SARKAR
 
Quiz application system project report..pdf
Quiz application system project report..pdfQuiz application system project report..pdf
Quiz application system project report..pdfKamal Acharya
 
Research Methodolgy & Intellectual Property Rights Series 1
Research Methodolgy & Intellectual Property Rights Series 1Research Methodolgy & Intellectual Property Rights Series 1
Research Methodolgy & Intellectual Property Rights Series 1T.D. Shashikala
 
Research Methodolgy & Intellectual Property Rights Series 2
Research Methodolgy & Intellectual Property Rights Series 2Research Methodolgy & Intellectual Property Rights Series 2
Research Methodolgy & Intellectual Property Rights Series 2T.D. Shashikala
 
Introduction to Heat Exchangers: Principle, Types and Applications
Introduction to Heat Exchangers: Principle, Types and ApplicationsIntroduction to Heat Exchangers: Principle, Types and Applications
Introduction to Heat Exchangers: Principle, Types and ApplicationsKineticEngineeringCo
 
Seismic Hazard Assessment Software in Python by Prof. Dr. Costas Sachpazis
Seismic Hazard Assessment Software in Python by Prof. Dr. Costas SachpazisSeismic Hazard Assessment Software in Python by Prof. Dr. Costas Sachpazis
Seismic Hazard Assessment Software in Python by Prof. Dr. Costas SachpazisDr.Costas Sachpazis
 
Operating System chapter 9 (Virtual Memory)
Operating System chapter 9 (Virtual Memory)Operating System chapter 9 (Virtual Memory)
Operating System chapter 9 (Virtual Memory)NareenAsad
 
SLIDESHARE PPT-DECISION MAKING METHODS.pptx
SLIDESHARE PPT-DECISION MAKING METHODS.pptxSLIDESHARE PPT-DECISION MAKING METHODS.pptx
SLIDESHARE PPT-DECISION MAKING METHODS.pptxCHAIRMAN M
 
Linux Systems Programming: Semaphores, Shared Memory, and Message Queues
Linux Systems Programming: Semaphores, Shared Memory, and Message QueuesLinux Systems Programming: Semaphores, Shared Memory, and Message Queues
Linux Systems Programming: Semaphores, Shared Memory, and Message QueuesRashidFaridChishti
 
Activity Planning: Objectives, Project Schedule, Network Planning Model. Time...
Activity Planning: Objectives, Project Schedule, Network Planning Model. Time...Activity Planning: Objectives, Project Schedule, Network Planning Model. Time...
Activity Planning: Objectives, Project Schedule, Network Planning Model. Time...Lovely Professional University
 
Electrical shop management system project report.pdf
Electrical shop management system project report.pdfElectrical shop management system project report.pdf
Electrical shop management system project report.pdfKamal Acharya
 
Involute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdf
Involute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdfInvolute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdf
Involute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdfJNTUA
 

Recently uploaded (20)

15-Minute City: A Completely New Horizon
15-Minute City: A Completely New Horizon15-Minute City: A Completely New Horizon
15-Minute City: A Completely New Horizon
 
Geometric constructions Engineering Drawing.pdf
Geometric constructions Engineering Drawing.pdfGeometric constructions Engineering Drawing.pdf
Geometric constructions Engineering Drawing.pdf
 
ChatGPT Prompt Engineering for project managers.pdf
ChatGPT Prompt Engineering for project managers.pdfChatGPT Prompt Engineering for project managers.pdf
ChatGPT Prompt Engineering for project managers.pdf
 
Maher Othman Interior Design Portfolio..
Maher Othman Interior Design Portfolio..Maher Othman Interior Design Portfolio..
Maher Othman Interior Design Portfolio..
 
How to Design and spec harmonic filter.pdf
How to Design and spec harmonic filter.pdfHow to Design and spec harmonic filter.pdf
How to Design and spec harmonic filter.pdf
 
Piping and instrumentation diagram p.pdf
Piping and instrumentation diagram p.pdfPiping and instrumentation diagram p.pdf
Piping and instrumentation diagram p.pdf
 
Circuit Breaker arc phenomenon.pdf engineering
Circuit Breaker arc phenomenon.pdf engineeringCircuit Breaker arc phenomenon.pdf engineering
Circuit Breaker arc phenomenon.pdf engineering
 
Fabrication Of Automatic Star Delta Starter Using Relay And GSM Module By Utk...
Fabrication Of Automatic Star Delta Starter Using Relay And GSM Module By Utk...Fabrication Of Automatic Star Delta Starter Using Relay And GSM Module By Utk...
Fabrication Of Automatic Star Delta Starter Using Relay And GSM Module By Utk...
 
BRAKING SYSTEM IN INDIAN RAILWAY AutoCAD DRAWING
BRAKING SYSTEM IN INDIAN RAILWAY AutoCAD DRAWINGBRAKING SYSTEM IN INDIAN RAILWAY AutoCAD DRAWING
BRAKING SYSTEM IN INDIAN RAILWAY AutoCAD DRAWING
 
Quiz application system project report..pdf
Quiz application system project report..pdfQuiz application system project report..pdf
Quiz application system project report..pdf
 
Research Methodolgy & Intellectual Property Rights Series 1
Research Methodolgy & Intellectual Property Rights Series 1Research Methodolgy & Intellectual Property Rights Series 1
Research Methodolgy & Intellectual Property Rights Series 1
 
Research Methodolgy & Intellectual Property Rights Series 2
Research Methodolgy & Intellectual Property Rights Series 2Research Methodolgy & Intellectual Property Rights Series 2
Research Methodolgy & Intellectual Property Rights Series 2
 
Introduction to Heat Exchangers: Principle, Types and Applications
Introduction to Heat Exchangers: Principle, Types and ApplicationsIntroduction to Heat Exchangers: Principle, Types and Applications
Introduction to Heat Exchangers: Principle, Types and Applications
 
Seismic Hazard Assessment Software in Python by Prof. Dr. Costas Sachpazis
Seismic Hazard Assessment Software in Python by Prof. Dr. Costas SachpazisSeismic Hazard Assessment Software in Python by Prof. Dr. Costas Sachpazis
Seismic Hazard Assessment Software in Python by Prof. Dr. Costas Sachpazis
 
Operating System chapter 9 (Virtual Memory)
Operating System chapter 9 (Virtual Memory)Operating System chapter 9 (Virtual Memory)
Operating System chapter 9 (Virtual Memory)
 
SLIDESHARE PPT-DECISION MAKING METHODS.pptx
SLIDESHARE PPT-DECISION MAKING METHODS.pptxSLIDESHARE PPT-DECISION MAKING METHODS.pptx
SLIDESHARE PPT-DECISION MAKING METHODS.pptx
 
Linux Systems Programming: Semaphores, Shared Memory, and Message Queues
Linux Systems Programming: Semaphores, Shared Memory, and Message QueuesLinux Systems Programming: Semaphores, Shared Memory, and Message Queues
Linux Systems Programming: Semaphores, Shared Memory, and Message Queues
 
Activity Planning: Objectives, Project Schedule, Network Planning Model. Time...
Activity Planning: Objectives, Project Schedule, Network Planning Model. Time...Activity Planning: Objectives, Project Schedule, Network Planning Model. Time...
Activity Planning: Objectives, Project Schedule, Network Planning Model. Time...
 
Electrical shop management system project report.pdf
Electrical shop management system project report.pdfElectrical shop management system project report.pdf
Electrical shop management system project report.pdf
 
Involute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdf
Involute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdfInvolute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdf
Involute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdf
 

UNDERSTANDING LINEAR DIFFERENTIAL EQUATIONS.pptx

  • 2. HISTORY • The history of linear differential equations is rooted in the evolution of calculus and the exploration of mathematical models describing change. Building on ancient Greek foundations, pioneers like Newton and Leibniz formulated the principles of calculus in the 17th century. This provided initial tools for solving differential equations, though practical methods were limited. In the 18th century, Euler and Clairaut made substantial strides, introducing concepts like integrating factors and devising techniques to solve various differential equation types. Daniel Bernoulli and Pierre-Simon Laplace further advanced the field, with Laplace's contributions extending to both ordinary and partial differential equations, laying groundwork for transformative techniques like the Laplace