This video lecture course on Differential Equations includes Solution of first-order ODEs by analytical, graphical and numerical methods- Linear ODEs, especially second order with constant coefficients- Undetermined coefficients and variation of parameters- Sinusoidal and exponential signals oscillations, damping, resonance- Complex numbers and exponentials- Fourier series, periodic solutions- Delta functions, convolution, and Laplace transform methods- Matrix and first order linear systems eigenvalues and eigenvectors- and Non-linear autonomous systems critical point analysis and phase plane diagrams.
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