The general solution of the differential equation dydx=x2y2, is

We have, y2dy=x2dxIntegrating we get y33−x33=C⇒y3−x3=C1 where, C1=3C

The general solution of the differential equation dydx=x2y2, is

We have, y2dy=x2dxIntegrating we get y33−x33=C⇒y3−x3=C1 where, C1=3C

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The general solution of the differential equation $\frac{d y}{d x} = \frac{x^{2}}{y^{2}}$ , is

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$x^{3} + y^{3} = C$

$x^{2} + y^{2} = C$

$x^{3} - y^{3} = C$

$x^{2} - y^{2} = C$

answer is A.

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We have, $y^{2} d y = x^{2} d x$

Integrating we get $\frac{y^{3}}{3} - \frac{x^{3}}{3} = C \Rightarrow y^{3} - x^{3} = C_{1}$ where, $C_{1} = 3 C$

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The general solution of the differential equation dydx=x2y2, is

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The general solution of the differential equation $\frac{d y}{d x} = \frac{x^{2}}{y^{2}}$ , is