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Mathematics
Problem
A second–order differential equation has the general solution
y
=
C
1
e
2
x
+
C
2
e
−
2
x
y = C_{1}e^{2x} + C_{2}e^{-2x}
y
=
C
1
e
2
x
+
C
2
e
−
2
x
. Given the conditions
y
(
0
)
=
3
y(0)=3
y
(
0
)
=
3
and
y
′
(
0
)
=
−
1
y'(0)=-1
y
′
(
0
)
=
−
1
, determine the particular solution.
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