Find the general solution of the differential equation
dydx=xysinx\displaystyle \frac{dy}{dx} = xy\sin xdxdy=xysinx
You may use the formula ∫udvdx dx=uv−∫vdudx dx\displaystyle\int u\frac{dv}{dx}\,dx = uv - \int v\frac{du}{dx}\,dx∫udxdvdx=uv−∫vdxdudx.