| Intro |
Motivation and Syllabus |
W-0 |
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| Basics I |
Classification, order, integrating factors, IVP |
W-1 |
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| Tutorial I |
Solve Differential Equation with Sympy |
W-2 |
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| Basics II |
Seperable differential equation, Existence and Uniqueness Theorem |
W-2 |
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| Numerical I |
Direction Field, Euler’s Method |
W-3 |
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| Numerical II |
Improved Euler Method, Runge-Kutta Method |
W-3 |
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| Linear Homogeneous 2nd ODEs |
Superposition, Wronskian, Constant Coefficients |
W-4 |
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| Linear Non-homogeneous 2nd ODEs |
Methods of undetermined coefficients, Variation of parameters, Forced Vibration |
W-4 |
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| Systems of ODEs |
Systems of first-order ODEs, Homogeneous linear system with constant coefficients |
W-5 |
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| Critical Points |
Classification of critical points, local linearization |
W-6 |
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