Determine the implicit general solution of the differential equation .

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Determine the implicit general solution of the differential equation dydx=2x1−y2\displaystyle \frac{dy}{dx}=\dfrac{2x}{1-y^{2}}. (a) y−y33=x3+Cy-\dfrac{y^{3}}{3}=x^{3}+C (b) y−y33=x2+Cy-\dfrac{y^{3}}{3}=x^{2}+C (c) 12ln⁡∣1+y1−y∣=x2+C\dfrac{1}{2}\ln\left|\dfrac{1+y}{1-y}\right|=x^{2}+C (d) y22−y412=x2+C\dfrac{y^{2}}{2}-\dfrac{y^{4}}{12}=x^{2}+C

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