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Question

Mathematics Question on Differential equations

A particular solution of the differential equation dydx=xy2\frac{dy}{dx}=xy^2 with y(0)=1 is

A

y=2−x22y=\frac{2-x^2}{2}

B

y=22−x2y=\frac{2}{2-x^2}

C

y=2x2−2y=\frac{2}{x^2}-2

D

y=x2−22y=\frac{x^2-2}{2}

E

y=2x2−2y=\frac{2}{x^2-2}

Answer

y=22−x2y=\frac{2}{2-x^2}

Explanation

Solution

The correct option is (B) : y=22−x2y=\frac{2}{2-x^2}