Ordinary Differential Equations

About this book

The book most students are pointed to for this paper is Raisinghania's Ordinary and Partial Differential Equations. It is a fine book and the wrong one for you: it covers ordinary and partial differential equations for mathematics majors, at around ₹748. Your paper is 60 lectures of ordinary differential equations alone. This book covers exactly that and stops — 328 pages, at roughly a third of the price.

Module I covers the historical background and the contributions of Aryabhata, Bhaskaracharya and Madhava. Module II, the heaviest at 20 lectures, covers linear differential equations, equations reducible to linear form, change of variables, exact equations, and first order higher degree equations — solvable for x, y and p, homogeneous in x and y, Clairaut's equation and singular solutions.

Module III, also 20 lectures, covers linear equations with constant coefficients, homogeneous linear ODEs and linear equations of second order. Module IV covers the method of variation of parameters and ordinary simultaneous differential equations of first order. The Case Study module on Industrial Applications — differential equations in industry, business and economics — is included. Published by Shree Shiksha Sahitya Prakashan, Meerut.