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Ordinary And Partial Differential Equations, 19e (pb) 2017 by Raisinghania
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ISBNSpecification
  SPECIFICATION
ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS, 18e (pb) 2016
Author: M.D. RAISINGHANIA
ISBN: 9789385676161
Year: 2016
Publisher: S. CHAND & COMPANY LIMITED
Category: MATHEMATICS
Edition: 18
Format: Paperback
Language: English
 ABOUT THE TITLE
This book has been Designed for the use of undergraduate (Honours) and postgraduate Students of various Indian Universities. Besides, it will also be use ful to the aspirants of competitive examinatons.

Author: Dr. M.D. Raisinghania
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 TABLE OF CONTENTS
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
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