S. Chand Publication [Ordinary and Partial Differential Equations (English) Paperback] by Dr. M. D. Raisinghania

S. Chand Publication [Ordinary and Partial Differential Equations (English) Paperback] by Dr. M. D. Raisinghania

• Exhaustive coverage of major Indian universities curriculum
• Up to date examples and questions

PART-I: ELEMENTARY DIFFERENTIAL EQUATIONS
• Differential Equations, their Formation and Solutions • Equations of First Order and First Degree • Trajectories • Equations of the First Order but not of the First Degree Singular Solutions and Extraneous Loci • Linear Differential Equations with Constant Coefficients • Homogeneous Linear Equations or Cauchy-Euler Equations • Method of Variation of Parameters • Ordinary Simultaneous Differential Equations • Exact Differential Equations and Equations of Special Forms • Linear Differential Equations of Second Order • Applications of Differential Equations

PART-II: ADVANCED ORDINARY DIFFERENTIAL EQUATIONS AND SPECIAL FUNCTIONS
• Picard's Iterative Method. Uniqueness and Existence Theorem • Simultaneous Differential Equations of the form (dx)/P = (dy)/Q = (dz)/R • Total (or Pfaffian) Differential Equations • Beta and Gamma Functions • Chebyshev Polynomials • Fourier Series • Power Series • Integration in Series • Legendre Polynomials • Legendre Functions of the Second Kind • Bessel Functions • Hermite Polynomials • Laguerre Polynomial • Hypergeometric Function • Orthogonal Set of Functions and Strum-Liouville Problem

PART-III: PARTIAL DIFFERENTIAL EQUATIONS
• Origin of Partial Differential Equations • Linear Partial Differential Equations of Order One • Non-Linear Partial Differential Equations of Order One • Homogeneous Linear Partial Differential Equations with Constant Coefficients • Non-Homogeneous Linear Partial Differential Equations with Constant Coefficients • Partial Differential Equations Reducible to Equations with Constant Coefficients • Partial Differential Equations of order two with Variables Coefficients • Classification of Partial Differential Equations Reduction to Cononial or Normal Form. Riemann Method • Monge's Method • Transport Equation • Cauchy Initial Value Problem for Linear First Order Partial Differential Equations