Verify that the given differential equation is not exact xy

Last updated: 2/13/2023

Verify that the given differential equation is not exact xy sin x 2y cos x dx 2x cos x dy 0 If the given DE is written in the form M x y dx N x y dy 0 one has My Nx equal the equation is not exact Since My and Ny are not Multiply the given differential equation by the integrating factor x y xy and verify that the new equation is exac If the new DE is written in the form M x y dx N x y dy 0 one has My Nx Since My and N are 0 equal the equation is exact