DIFFERENTIAL EQUATIONS
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:
- D.A.Murray, Introductory course on Differential Equations, Orient Longman, 2004
- I. N. Sneddon, Elements of Partial Differential Equations , TMH, 2001
- Zafar Ahsan, Differential Equations & their applications, PHI ,New Delhi, 1998.
- Bansal and Dhami, Differential Equations, vol. I, JPH, 2012.
References:
- A.R.Forsyth , A Treatise on Differential Equations , Macmillan and Co. Ltd, London, 1997.
- Frank Ayres, Theory and Problems of Differential Equations, TMH, 2002.
Academic Year:
