Ordinary and Partial Differential Equation | Dr MD Rai Singhania - S.CHAND
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In stock
SKU
MCB - 1427
Special Price ₹560.00 Regular Price ₹699.00
ISBN - 9789352836109
PAGES - 912
EDITION - 2020
TABLE OF CONTENTS :-
UNIT 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 and 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 Equations of Second Order
- Applications of Differential Equations
- Miscellaneous Methods and Existence and Uniqueness Theorem for Solutions of First Order Initial Value Problems
UNIT II - ADVANCED ORDINARY DIFFERENTIAL EQUATIONS, FOURIER SERIES AND SPECIAL FUNCTIONS
- Picard's Iterative Method, Picard's Theorem and Existence and Uniqueness of Solutions to First Order Initial Value Problems
- Simultaneous 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—Qn(x)
- Bessel Functions
- Orthogonal Sets of Functions and Strum Liouville Problem
UNIT 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 Variable Coefficients
- Classification of P.D.E. Reduction to Canonical or Normal Forms Riemann Method
- Monge's Methods
- Transport Equation
- Cauchy Initial Value Problem for Linear First Order Partial Differential Equations
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