- Introduction
Ordinary Differential Equations: 30+ Hours!
Gain a hands-on understanding of the strategies and methods associated with ordinary differential equations from the ...Read more
Online
₹ 1999
Quick Facts
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Medium of instructions
English
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Mode of learning
Self study
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Mode of Delivery
Video and Text Based
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Course overview
A differential equation comprising one or more variables of one independent variable and their derivatives is an ordinary differential equation (ODE). The phrase ordinary differential equation has been used in contradiction to fractional derivative, which can refer to far more than one independent variable. Kvasir Education - Instructor, Bar Movsowowitz & Prop sA created the Ordinary Differential Equations: 30+ Hours online certification, which is accessible through Udemy.
Ordinary Differential Equations: 30+ Hours of online classes seeks to help learners gain the knowledge and skills to comprehend topics ranging from simple to difficult by delivering material to guide them toward completely understanding the procedures required to solve a problem. Ordinary Differential Equations: 30+ Hours of online training includes over 31.5 hours of digital lectures, 31 downloadable materials, and practice tasks that cover integration, diagonalization, differentiation, limits, infinite series, the system of linear equations, and more.
The highlights
- Certificate of completion
- Self-paced course
- 31.5 hours of pre-recorded video content
- 31 downloadable resources
- Practice exercises
Program offerings
- Online course
- Learning resources. 30-day money-back guarantee
- Unlimited access
- Accessible on mobile devices and tv
Course and certificate fees
Fees information
certificate availability
Yes
certificate providing authority
Udemy
Who it is for
What you will learn
After completing the Ordinary Differential Equations: 30+ Hours certification course, learners will obtain a thorough comprehension of mathematical topics such as ordinary differential equations, as well as an overview of concepts such as linear equations, separable equations, homogeneous equations, exact equations, nonhomogeneous equations, Riccati equations, and Euler equation. Learners will explore the homogeneous after equation, integration factor, coefficients, and linear ODE, among other features of ordinary differential equations. Learners will study concepts of existence, uniqueness, wronskian, eigenvectors, eigenvalues, linear independence, and diagonalization. Learners will also study Laplace transform and Sturm-Liouville.
The syllabus
First Order Linear Equations - Introduction
First Order Linear Equations - Separable Equations
- Separable Equations
- Exercise 1
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
- Exercise 9
- Exercise 11
- Exercise 12
- Exercise 13
First Order Linear Equations - Homogeneous Equations
- Homogeneous ODEs
- Homogeneous Functions
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 9
First Order Linear Equations - Homogeneous After Substitution
- Homogeneous After Substitution
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
First Order Linear Equations - Exact Equations
- Exact Equations
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
First Order Linear Equations - Integration Factor
- Integration Factor
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
- Exercise 9
- Exercise 10
- Exercise 11
- Exercise 12
- Exercise 13
- Exercise 14
- Exercise 15
- Exercise 16
First Order Linear Equations - Linear Equations
- Linear Equations
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
First Order Linear Equations - Bernoulli Equations
- Bernoulli Equations
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
First Order Linear Equations - Ricatti Equations
- Ricatti Equations
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
First Order Linear Equations - Existence And Uniqueness
- Existence And Uniqueness
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
Second Order Linear Equations - Missing X Or Y, Reduction Of Order
- Missing X Or Y, Reduction Of Order
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
Second Order Linear Equations - Linear, Homogeneous, Constant Coefficients
- Linear, Homogeneous, Constant Coefficients
- Exercise 1
- Exercise 2
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
- Exercise 9
Linear, Nonhomogeneous, Constant Coefficients - Method Of Undetermined Coefficient
- Method Of Undetermined Coefficients
- Method Of Undetermined Coefficients - Glitch
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
- Exercise 9
- Exercise 10
- Exercise 11
- Exercise 12
Linear, Nonhomogeneous, Constant Coefficients - Method Of Variation Of Parameter
- Method Of Variation Of Parameters
- Proof Of Formula
- Exercise 1
- Exercise 1 - Without Formula
- Exercise 2
- Exercise 2 - Without Formula
- Exercise 3
- Exercise 3 - Without Formula
- Exercise 4
- Exercise 5
- Exercise 6
Second Order Linear Equations - Euler's Equation
- Euler Equation - Homogeneous
- Euler Equation - Nonhomogeneous
SOLE - Linear, Homogeneous, Non-Constant Coefficients - 2nd Solution Method
- 2nd Solution Method - Homogeneous
- 2nd Solution Method - Nonhomogeneous
- Exercise 1
- Exercise 2
- Exercise 3
Second Order Linear Equations - The Wronskian And Its Uses
- Introduction
- Linear Independence Of Functions
- Test For Independence Of Functions
- The Wronskian Of ODE Solutions
- Test For Independence Of Solutions
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
Second Order Linear Equations - Sturm-Liouville Problems
- Sturm-Liouville
- Exercise 1
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
N-th Order Linear Equations - Linear, Homogeneous, Constant Coefficients
- Linear, Homogeneous, N-Th Order, Constant Coefficients
- Useful Theorems On Polynomial Roots
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
- Exercise 9
- Exercise 10
- Exercise 11
- Exercise 12
- Exercise 13
- Exercise 14
- Exercise 15
- Exercise 16
N-th Order Linear Equations - Method Of Undetermined Coefficients
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
N-th Order Linear Equations - The Wronskian And Its Uses
- Exercise 1
- Exercise 2
- Exercise 3
Systems Of Linear ODEs - Linear Algebra - Eigenvalues And Eigenvectors
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
S.O.L ODEs - 1st Order Homogeneous With Constant Coefficients - Diagonalization
- Exercise 1
- Exercise 2
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
1st Order Nonhomogeneous With Constant Coefficients - Variation Of Parameters
- 1st Order Nonhomogeneous With Constant Coefficients
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
Systems of Linear ODEs - The Substitution Method
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
Solving Lin. ODEs w/ Power Series - Nonhomogeneous Equation Around Regular Point
- Nonhomogeneous Equation Around Regular Point
- Exercise 1
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
- Exercise 9
Lin. ODEs w/ Power Series - Homogeneous Equation Around Regular-Singular Point
- Homogeneous Equation Around Regular-Singular Point
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
The Laplace Transform - The Laplace Transform
- Introduction And Overview
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
- Exercise 9
- Exercise 10
- Exercise 11
- Exercise 12
- Exercise 13
- Exercise 14
- Exercise 15
- Exercise 16
- Exercise 17
- Exercise 18
- Exercise 19
- Exercise 20
- Exercise 21
- Exercise 22
- Exercise 23
The Laplace Transform - The Inverse Laplace Transform
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
- Exercise 9
- Exercise 11
- Exercise 12
- Exercise 13
- Exercise 14
- Exercise 15
- Exercise 16
- Exercise 17
- Exercise 18
- Exercise 19
- Exercise 20
- Exercise 21
- Exercise 22
- Exercise 23
- Exercise 24
- Exercise 25
- Exercise 26
- Exercise 27
- Exercise 28
- Exercise 29
- Exercise 30
- Exercise 31
The Laplace Transform - Solving ODEs With The Laplace Transform
- Solving ODEs With The Laplace Transform I
- Solving ODEs With The Laplace Transform II
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
- Exercise 9
Word Problems
- Tutorial
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
- Exercise 9
- Exercise 10
- Exercise 11
- Exercise 12
- Exercise 13
- Exercise 14
- Exercise 15
- Exercise 16
- Exercise 17
- Exercise 18
- Exercise 19
- Exercise 20
- Exercise 21
- Exercise 22
- Exercise 23
- Exercise 24
- Exercise 25
- Exercise 26
- Exercise 27
- Exercise 28
- Exercise 29
Phase Planes - Phase Planes
- Phase Portrait Of Linear Systems
- Critical Point 1
- Critical Point 2
- Phase Portrait Of Non Linear Systems
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
- Exercise 9
- Exercise 10
- Exercise 11
Graphical And Numerical Methods - Graphical And Numerical Methods
- Graphical And Numerical Methods - Part 1
- Graphical And Numerical Methods - Part 2
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5