6. Solve the following differential: (e*x + 2xy²) dx + (cos(y)+2x²y)dy=0 a) Test the original differential equation to determine if it is exact. b) Find an integrating factor if needed. c) If needed, multiply the integrating factor from part b), test to see if the differential equation is exact. d) Solve the exact differential equation using the method described in class. (Do not use the method of variables separable.) 6.