For Problems 45–50, verify that the given function is a solution to the given differential equation. In these problems, c 1 and c 2 are arbitrary constants. y ( x ) = c 1 e 2 x + c 2 e − 3 x , y ″ + y ′ − 6 y = 0 .
For Problems 45–50, verify that the given function is a solution to the given differential equation. In these problems, c 1 and c 2 are arbitrary constants. y ( x ) = c 1 e 2 x + c 2 e − 3 x , y ″ + y ′ − 6 y = 0 .
Solution Summary: The author explains how to determine whether y(x)=c_1e2x
For Problems 45–50, verify that the given function is a solution to the given differential equation. In these problems,
c
1
and
c
2
are arbitrary constants.
y
(
x
)
=
c
1
e
2
x
+
c
2
e
−
3
x
,
y
″
+
y
′
−
6
y
=
0
.
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