Unformatted text preview: Diﬀerential Equations
Homework Assignment 9
Due on Thursday, April 7, at the start of the recitation you are registered in
Your homework should have a cover sheet with the following information: course title,
recitation, last and ﬁrst name (as they appear in the roster), number of homework. If you
use several sheets, please staple them. The problems should be written neatly and in the
order they were assigned.
Problem 1. Compute the Laplace transform of cos (αt) “from scratch”, that is use only the deﬁnition of the Laplace transform. Show all the work.
Problem 2. Use the Laplace transform to solve the initial value problem
y − 3y + 2y = 12e5t , y (0) = 4, y (0) = 9. ...
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