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Mathematics
Problem
Find the equation to which the equation
x
d
2
y
d
x
2
+
(
d
y
d
x
)
2
−
y
d
y
d
x
=
0
x \frac{d^2 y}{dx^2} + \left(\frac{dy}{dx}\right)^2 - y \frac{dy}{dx} = 0
x
d
x
2
d
2
y
+
(
d
x
d
y
)
2
−
y
d
x
d
y
=
0
interchanging the independent and dependent variables.
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