Solutions of Ordinary Differential Equations

MA 1060Solutions of Ordinary Differential Equations 3--3SMA
Linear Ordinary differential equations with constant, coefficients, method of variation of parameters, linear systems of ordinary differential equations.

Infinite series, tests for convergence, alternating series, functional series, uniform convergence, power series and fourier series.

Singular points of ordinary differential equations, series solutions, Bessel and Legendre differential equations, Properties of Bessel functions and Legendre polynomials.

Laplace transorms, elementary properties of Laplace transforms, inversion by partial fractions, convolution theorem and applications to ordinary differential equations.

1. Piskunov, N., Differential and Integral Calculus, Volumes I and II, Mir. Publishers 1981

2. Kreyszig, E., advanced Engineering Mathematics, Wiley Eastern1985