Find the general solution to the Clairaut equation y=xy′+(y′)2y = xy' + (y')^2y=xy′+(y′)2.
y=Cx+C2y = Cx + C^2y=Cx+C2 and y=−14x2y = -\frac{1}{4}x^2y=−41x2
y=Cx+C2y = Cx + C^2y=Cx+C2
y=x2+Cy = x^2 + Cy=x2+C
y=Cx2+C2y = C x^2 + C^2y=Cx2+C2