Ordinary and Partial Differential Equations with Applications

Contents: Preface. 1. First order differential equations. 2. Applications. 3. Linear equations. 4. Equations of first order but not of first degree. 5. Equations of higher order. 6. Second order differential equations. 7. Application. 8. Simultaneous differential equation. 9. Some applications. 10. Partial Differential Equations (P.D.E). 11. Non linear partial differential equations of order one. 12. Homogeneous and nonhomogeneous P.D.E. of higher order with constant coefficients. 13. Application of partial differential equations. 14. Power series solutions. 15. Legendres equation. 16. Bessel\'s function. 17. Fourier analysis. 18. Laplace transforms. 19. Applications to differential equations. Index.

"Ordinary and partial differential equations with applications covers all types of methods of solutions of differential equations. Written keeping the requirements of the undergraduate students in mind, the book covers the courses as prescribed by the UGC. The solutions and figures are given to help students solve problems on their own. The book will be useful to the teachers and students of mathematics and also engineering students." (jacket)