Please help me to answer the question below in detail. I really don't understand it. This's all the information I got for the question.Thank you so much, and have a great day!

2. Consider M(x, y) + N(x, y) . 24 =0. (a) Suppose we can find a function F = F(x, y) so that F, = M and F, = N. Give an example of such an equation and solve it. (b) Suppose we can find functions a and = so that (u o=) (r, y) is an integrating factor that transforms the given equation into an exact equation. What must be true about M and N? (c) Continuing from part (b), suppose we can find functions p and = so that (poz) (r, y) is an integrating factor that transforms the given equation into an exact equation. Construct a differential equation with respect to a to solve for u. (d) Using the ODE with respect to a in part (c), given p(20) = po, when does a unique solution exist? (e) Suppose = = r' + y. Find a from part (c), if possible. (f) Construct an example of an equation that can be solved using the integrating factor in part (e) and then solve this equation. (g) What sources did you use for this exercise