Consider the initial value problem: 3y – 2y = et/5, y(0) = a. a. Solve the initival value problem. Your answer will depend on a. b. The behavior of the solutions depend on the initial value a. At what...

Extracted text: Consider the initial value problem: 3y – 2y = et/5, y(0) = a. a. Solve the initival value problem. Your answer will depend on a. b. The behavior of the solutions depend on the initial value a. At what critical value, ao, does the behavior transition from one type to another? ao = %3D c. Describe the behavior of the solution corresponding to the critical value, ao. t 00 y → -infinity