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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 3-29
12.
1
1
x
D
.
Ans:
+1x
13.
2
2
1
1
x
e
D
.
Ans:
2
1
3
x
e
14.
2
2
1
4
x
e
D
.
Ans:
2
1
4
x
xe
15.
4
2
1
x
D
.
Ans:
6
1
30
x
16.
2
1
()
ax
e
Da
.
Ans:
2
1
2
ax
xe
3.2 GENERAL SOLUTION OF LINEAR
EQUATION
=() ()fDy Qx
We have seen that if
p
yy=
is a particular solution (containing no arbi-
trary constants) of the linear equation
() ()fDy Qx=
and
c
yy= is the
general solution of the homogenous equation () 0fDy= with as many
arbitrary constants as the order of the equation then
cp
yy y=+ is the
general solution (G.S.) of the non-homogenous linear equation:
() ()fDy Qx=
As we have studied methods of fi nding y
c
and the general method ...
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Publisher Resources

ISBN: 9781299487406Publisher Website