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0 votes
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in Differential Equations by (20 points)
edited by

The differential equations are separable y`- xy2 = 0.

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1 Answer

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\(y' - xy^2 = 0\)

⇒ \(\frac{dy}{dx} = xy^2\)

⇒ \(\frac{dy}{y^2} = xdx\)

⇒ \(\frac{-1}{y} = \frac{x^2}{2} + C\)   (By integrating on both sides)

which is solution of given differential equation.

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