Consider the initial value problem: -4y' + 5y = e^-3t/4, y(0) = a.
a. Solve the initial value problem. Your answer will depend on a.
y=
b. The behavior of the solutions depend on the initial value a. At what critical value, a0, does the
behavior transition from one type to another?
a0=
c. Describe the behavior of the solution corresponding to the critical value, a0.
t ? ? ? y ?