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Mathematics
Mathematics
Problem
Solve the differential equation
(
x
d
y
−
y
d
x
)
y
sin
(
y
x
)
=
(
y
d
x
+
x
d
y
)
x
cos
(
y
x
)
.
(x dy - y dx) y \sin \left( \frac{y}{x} \right) = (y dx + x dy) x \cos \left( \frac{y}{x} \right).
(
x
d
y
−
y
d
x
)
y
sin
(
x
y
)
=
(
y
d
x
+
x
d
y
)
x
cos
(
x
y
)
.
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