(Solved): Find the solution to the exact equation \[ \left(-5 x y e^{x y}-2 y-5 e^{x y}+\sin (x) \cos (y)\rig ...

Find the solution to the exact equation \[ \left(-5 x y e^{x y}-2 y-5 e^{x y}+\sin (x) \cos (y)\right) \frac{d y}{d x}+\left(14 x-5 y^{2} e^{x y}+\sin (y) \cos (x)\right)=0 \quad y(0)=0 \] In the form \[ \psi(x, y)=0 \] \[ \psi(x, y)= \] This question is complete and cannot be answered again. Correct answer \[ \psi(x, y)=7 x^{2}-y^{2}-5 y e^{x y}+\sin (x) \sin (y) \]