Ok, i just came up with this ode. How does one go about to solve it?
My attempt
Let ##M(x,y) =(2xy+\cos y+\dfrac{2y}{x}-\sin x)## and ##N(x,y) = (x^2-y\sin y+1)##
##\dfrac{\partial M}{\partial y}= 2x - \sin y + \dfrac{2}{x}## and ##\dfrac{\partial N}{\partial x}= 2x##
Not exact.