In: Math
a) Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.)
(2xy2 − 5) dx + (2x2y + 4) dy = 0
b) Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate integrating factor.
(6 − 20y + e−5x) dx − 4 dy = 0