Applied Differential Equations discusses the Legendre and Bessel Differential equations and its solutions. Various properties of Legendre Polynomials as well as Legendre function and Bessel functions in part one. The second order Partial Differential equation of three types is studied and the technique to solve with the separation of variables technique called Fourier’s Method have been discussed in the second part. In the Appendix some applications of the Heat Equation are discussed to Model the Environment. NEW TO THE SECOND EDITION: Chapter on • Matlab Solution to ODE, PDE and SDE as an appendix

Preface to the Second Edition / PART-A: Power Series Solution of Ordinary Differential Equation / Legendre Differential Equation and its Properties / Bessel and Euler-Cauchy Differential Equation / PART-B: Partial Differential Equations / Laplace Equation / Heat Conduction Diffusion Equation / Appendixes / Index.

Undergraduate and Postgraduate Students in Mathematics