Subject Code: MA2L303	Subject Name: DIFFERENTIAL EQUATION	L-T-P: 3-1-0	Credit: 4
Pre-requisite(s): None
Ordinary Differential Equations: Unit I. First order differential equations, statement of existence and uniqueness theorem, exact, linear and Bernoulli’s form, second order differential equations with constant coefficients, Euler’s equations, Unit II. Articular integrals by: variation of parameters, undetermined coefficients, operator method, Power series solution of ODE, Frobenius theorem, Bessel functions and Legendre polynomials. system of differential equations. Partial Differential Equations: Unit III. Formulation of partial differential equations by eliminating arbitrary constants and functions, linear and quasi-linear equations of first order. Classification of integrals, Pfaffian differential equation in three variables. Unit IV. Lagrange’s Method of solution and its geometrical interpretation, compatibility condition, Charpit's method, special types of first order equations. Text/Reference Books: Kreyszig E. Advanced Engineering Mathematics, John Wiley & Sons Coddington E. A. An Introduction to Ordinary Differential Equations, Prentice Hall I N Sneddon : Elements of Partial Differential Equation : Dover Publication of 1957 books Ross S. L. Differential Equations, Wiley Thomas G. B. and Finney R. L. Calculus and Analytic Geometry, Pearson Strauss W.A. Partial Differential Equations: An Introduction, John Wiley Partial Differential equations: classical theory with a modern touch, A K Nandakumaran and P. S Datti, Cambridge IISc Press.