The “Differential Equations for Engineers” playlist is a compact introductory course that develops differential equations from basic first-order ODEs to more advanced engineering applications. It begins with classification, Euler’s numerical method, separable and linear first-order equations, and applications such as compound interest, terminal velocity, and RC circuits; it then moves to second-order linear equations, superposition, characteristic roots, resonance, RLC circuits, springs and pendulums.
Later lectures introduce Laplace transforms, Heaviside and Dirac delta functions, power-series solutions, systems of differential equations, eigenvalues, phase portraits and coupled oscillators, before concluding with Fourier series and partial differential equations, particularly the diffusion equation and separation of variables. Overall, it provides a practical bridge between differential-equation theory and the mathematical models commonly encountered in physics and engineering.
PLAYLIST
LECTURE NOTES [PDF]
Later lectures introduce Laplace transforms, Heaviside and Dirac delta functions, power-series solutions, systems of differential equations, eigenvalues, phase portraits and coupled oscillators, before concluding with Fourier series and partial differential equations, particularly the diffusion equation and separation of variables. Overall, it provides a practical bridge between differential-equation theory and the mathematical models commonly encountered in physics and engineering.
PLAYLIST
LECTURE NOTES [PDF]
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