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Ordinary Differential Equations I
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1 Preliminaries
1.1 Total Derivative
1.2 Example
1.3 Partial Derivative
1.4 Example
1.5 Notation
1.6 Remarks
1.7 Example
1.8 Independent Variables
1.9 Exercise
1.10 Exercise
1.11 Order of a Derivative
1.12 Notation
2 Mathematica
2.1 Introduction
2.2 Exercise
2.3 Exercise
2.4 Exercise
2.5 Exercise
2.6 Exercise
3 A Gentle Introduction
3.1 Exercise
3.2 Arbitrary Constant or Parameter
3.3 Family of Solutions
3.4 Exercise
3.5 Exercise
3.6 Order and the General Solution
3.7 Dependent and Independent Variables
3.8 Linear ODE
3.9 Homogeneous Linear ODE
3.10 Linear ODE with Constant Coeffecients
3.11 Nonlinear ODE
3.12 Characteristic Polynomial
3.13 Exercise
3.14 Constant Solution
3.15 Reducing Nonhomogeneous ODE to Homogeneous...
3.16 Initial Value Problem and Particular Solution
3.17 Exercise
3.18 Exercise
4 Linear First Order ODEs
4.1 Review
4.2 The General Solution
4.3 Exercise
4.4 RC Circuit
4.5 Separable ODE
4.6 Exercise
4.7 Exercise
4.8 Plot and Analysis
4.9 RL Circuit
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Teacher: Simerdeep Singh
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Simerdeep Singh
mycosmicschool@gmail.com
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