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Differential Equations by Pearson
book

Differential Equations by Pearson

by E. Rukmangadachari
May 2024
Intermediate to advanced content levelIntermediate to advanced
472 pages
13h 25m
English
Pearson India
Content preview from Differential Equations by Pearson
Linear Diff erential Equations with Constant Coeffi cients 3-9
3.1.6 General Solution, Basis and Particular Solution
A general solution of a second-order linear homogeneous (L.H.)
equation
() () 0yPxyQxy++=
′′
on an open interval I is of the form
11 2 2
ycy cy=+
where
1
y
and
2
y
are
linearly independent on I (they are not proportional to each other) and
1
c
and
2
c
are arbitrary constants. Then,
1
y
and
2
y
are called the basis
(fundamental system) of solution for the L.H. equation.
A particular solution of L.H. equation is obtained by giving specifi c
values to
1
c
and
2
c
in the general solution.
3.1.7 Second Order Linear Homogeneous Equations
with Constant Coeffi cients
We will now discuss the method of solution of a homogeneous linear
differential ...
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Publisher Resources

ISBN: 9781299487406Publisher Website