For , which relation represents the general implicit…

MATHEMATICS · Single correct · CBSE · Mathematics · Differential Equations · Differential Equations

Problem

For

\displaystyle \frac{dy}{dx}=\frac{2x}{1+y^{2}}

, which relation represents the general implicit solution? (a)

\arctan y = x^{2}+C

(b)

y^{3}=\dfrac{3}{2}x^{2}+C

(c)

y+\dfrac{1}{3}y^{3}=x^{2}+C

(d)

y+\dfrac{1}{3}y^{3}=\dfrac{1}{2}x^{2}+C

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