Homework # 7 - Math 328
The problems on this homework must be done alone. The honor code is in effect.
First name: Last name:
1. Find the general solution to the following differential equation: \(y''' + 3 y'' + 3 y' + y = 0\)
b. \(y = A e^t\)
b. \(y = A e^{-t}\)
c. \(y = A e^t + B e^{-t}\)
d. \(y = A e^{-t} + B te^{-t} + C t^2e^{-t}\)
e. \(y = A e^t + B te^t + C t^2e^t\)
2. Carefully write out your solution to question 1.
3. Find the general solution to the following differential equation: \(y''' + 3y'' + 3y' + y = 5e^{-t}\).