First order linear and non-linear differential equations: Introduction, formation, and solution first order first degree DE’s.
Higher order linear differential equations: homogeneous linear equations of order n with constant coefficients, solutions of higher order differential equations according to the roots of the auxiliary equation. Non-homogeneous linear equations. Cauchy Euler equation. Method of variations of parameters. Applications of higher order linear differential equations.
Fourier Series: Fourier coefficients. Convergence of Fourier series. Fourier series of odd and even functions.
Laplace Transforms Laplace and inverse Laplace transform of elementary functions and their properties. Applications of Laplace transformation in various fields of engineering