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Mathematics
Problem
A differentiable function
m
m
m
satisfies
(
m
(
x
)
e
2
x
)
′
=
8
e
2
x
(m(x)e^{2x})' = 8e^{2x}
(
m
(
x
)
e
2
x
)
′
=
8
e
2
x
for all real
x
x
x
, and
m
(
0
)
=
1
m(0)=1
m
(
0
)
=
1
. Determine
m
(
x
)
m(x)
m
(
x
)
.
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