1
UNIT-I
ORDINARY DIFFERENTIAL EQUATIONS
Higher order differential equations with constant coefficients Method of variation of
parameters Cauchys and Legendres linear equations Simultaneous first order
linear equations with constant coefficients.
The stud

C
H
31
A
P
T
E
R
Differential Equations
Change is intrinsic in the universe and in the world around us; the world is in motion.
Attempts to understand and predict change often involve creating models reflecting rates
of change. Translating information abo

Second Order Linear Partial Differential Equations
Part I
Second linear partial differential equations; Separation of Variables; 2point boundary value problems; Eigenvalues and Eigenfunctions
Introduction
We are about to study a simple type of partial dif

Exact and Nonexact Equations
All the techniques we have reviewed so far were not of a general nature since in each
case the equations themselves were of a special form. So, we may ask, what to do for
the general equation
Let us first rewrite the equation