Published on Mathematics (https://maths.iisuniv.ac.in)

Home > DIFFERENTIAL EQUATIONS

DIFFERENTIAL EQUATIONS [1]

Paper Code: 
MAT302
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
Unit I: 
I
9.00
Degree and order of a differential equation .Equations of first order and first degree – Variable separable method , Homogeneous and equations reducible to homogeneous form , Linear and equations reducible to linear form.
 
Unit II: 
II
9.00
Exact differential equations and equation which can be made exact. First order higher degree equations – solvable for x, y, p. Clairaut’s form.
 
Unit III: 
III
9.00
Linear differential equation with constant coefficients, complimentary function and particular integral. Homogeneous linear differential equations with variable coefficient. Simultaneous differential equations. 
 
Unit IV: 
IV
9.00

Linear differential equations of second order- Linear independence of solutions . Solution by transformation of the equations by changing the dependent and independent variable. Factorization of operators. Method of variation of parameters, Method of undetermined coefficients.

Unit V: 
V
9.00
Partial differential equations of the first order. Lagrange’s linear equation, Charpit’s general method of solution , homogeneous linear partial differential equations with constant coefficients. Equations reducible to equations with constant coefficients.
 
Essential Readings: 
  1. D.A.Murray, Introductory course on Differential Equations, Orient Longman, 2004
  2. I. N. Sneddon, Elements of Partial Differential Equations ,  TMH, 2001
  3. Zafar Ahsan, Differential Equations & their applications, PHI ,New Delhi, 1998.
  4. Bansal and Dhami, Differential Equations, vol. I, JPH, 2012.
 
References: 
  1. A.R.Forsyth , A Treatise on Differential Equations , Macmillan and Co. Ltd, London, 1997.
  2.  Frank Ayres, Theory and Problems of Differential Equations, TMH, 2002.  
 
Academic Year: 
2015-2016 [2]

Follow Mathematics on:

IIS (Deemed to be University)

Gurukul Marg, SFS, Mansarovar, Jaipur 302020, (Raj.) India Phone:- +91-141-2400160-61, 2397906-07, Fax: 2395494, 2781158

Source URL: https://maths.iisuniv.ac.in/courses/subjects/differential-equations-2

Links:
[1] https://maths.iisuniv.ac.in/courses/subjects/differential-equations-2
[2] https://maths.iisuniv.ac.in/academic-year/2015-2016