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Mathematics
Problem
Consider the differential equation
d
y
d
x
=
3
y
\dfrac{dy}{dx}=3y
d
x
d
y
=
3
y
. Determine whether the function
y
(
x
)
=
5
e
3
x
y(x)=5e^{3x}
y
(
x
)
=
5
e
3
x
is a solution.
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