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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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x3−y3=C

x3+y3=C

x2+y2=C

x2−y2=C

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detailed solution

Correct option is A

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 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