1.The general solution of (dydx)2=1−x2−y2+x2y2\left(\frac{dy}{dx}\right)^2 = 1 - x^2 - y^2 + x^2y^2(dxdy)2=1−x2−y2+x2y2 isa.2sin−1y=x1−x2+sin−1x+C2\sin^{-1} y = x\sqrt{1-x^2} + \sin^{-1} x + C2sin−1y=x1−x2+sin−1x+Cb.cos−1y=xcos−1x\cos^{-1} y = x\cos^{-1} xcos−1y=xcos−1xc.sin−1y=12sin−1x+C\sin^{-1} y = \frac{1}{2}\sin^{-1} x + Csin−1y=21sin−1x+Cd.2sin−1y=x1−y2+C2\sin^{-1} y = x\sqrt{1-y^2} + C2sin−1y=x1−y2+CLogin to continueOnly logged in users canattempt or see the solution.
