Ordinary Differential Equations/Non Homogenous 3
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Ordinary Differential Equations
Solve
y
″
−
y
=
e
−
x
,
x
∈
R
,
y
(
0
)
=
y
′
(
0
)
=
0
{\displaystyle y''-y=e^{-x},x\in \mathbb {R} ,y(0)=y'(0)=0}
Find Particular Integral
y
″
−
7
y
+
12
y
=
24
e
x
{\displaystyle y''-7y+12y=24e^{x}}
y
″
+
4
y
′
+
4
y
=
e
−
2
x
{\displaystyle y''+4y'+4y=e^{-2x}}
