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Mathematics
Mathematics
Problem
Verify that
y
=
a
x
+
b
y = \frac{a}{x} + b
y
=
x
a
+
b
is a solution of the differential equation
d
2
y
d
x
2
+
2
x
(
d
y
d
x
)
=
0.
\frac{d^2y}{dx^2} + \frac{2}{x} \left( \frac{dy}{dx} \right) = 0.
d
x
2
d
2
y
+
x
2
(
d
x
d
y
)
=
0.
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