Determine the general solution of the differential equation dydx=x2y−y\frac{dy}{dx} = x^2y - ydxdy=x2y−y for y>0y > 0y>0.
y=Cex33−xy = Ce^{\frac{x^3}{3} - x}y=Ce3x3−x
y=Cex3−xy = Ce^{x^3 - x}y=Cex3−x
y=C+x33−xy = C + \frac{x^3}{3} - xy=C+3x3−x
y=Cex33−xy = Ce^{\frac{x^3}{3}} - xy=Ce3x3−x