1. Find Laplace transforms of the following functions, where a, b, and c are constants.
a. a + bt + ct2
b. asin(2t)
c. e-3t
2. Find f(t) if F (s) = L (f) is as follows
![54_Laplace transformation to solve the initial value problem.png](https://www.mywordsolution.com/CMSImages/54_Laplace%20transformation%20to%20solve%20the%20initial%20value%20problem.png)
3. Use Laplace transformation to solve the initial value problem
y'' + 5y' + 4y = 0.
Given y(0) = 3 and y' (0) = 1