Solve the separable equation dydx=xy\frac{dy}{dx} = \frac{x}{y}dxdy=yx with y(1)=2y(1) = 2y(1)=2.
y2=x2+3y^2 = x^2 + 3y2=x2+3
y2=x2+1y^2 = x^2 + 1y2=x2+1
y=x2+1y = x^2 + 1y=x2+1
y2=x2+2y^2 = x^2 + 2y2=x2+2