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Mathematics
Mathematics
Problem
If
y
=
(
A
+
B
x
)
e
m
x
+
(
m
−
1
)
−
2
e
x
y = (A + Bx)e^{mx} + (m-1)^{-2}e^x
y
=
(
A
+
B
x
)
e
m
x
+
(
m
−
1
)
−
2
e
x
, then
d
2
y
d
x
2
−
2
m
d
y
d
x
+
m
2
y
\frac{d^2 y}{dx^2} - 2m \frac{dy}{dx} + m^2 y
d
x
2
d
2
y
−
2
m
d
x
d
y
+
m
2
y
is equal to
\text{ is equal to}
is equal to
a.
e
x
e^x
e
x
b.
e
m
x
e^{mx}
e
m
x
c.
e
−
m
x
e^{-mx}
e
−
m
x
d.
e
(
1
−
m
)
x
e^{(1-m)x}
e
(
1
−
m
)
x
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