Check if the following differential equation is exact? If so, solve. (4e^x sin(y) - 2y)dx + (-2x + 4e^x cos(y))dy = 0

Question.

Check if the following differential equation is exact? If so, solve.

(4e^x sin(y) - 2y)dx + (-2x + 4e^x cos(y))dy = 0

Solution: