Bear with me here, I took DIFF EQ 3 semesters ago and laplace transforms have come up again in a new class and I need to help
Solve the following using Laplace transforms:
where x and
I get the equation down to
next I went to partial fractions:
then finding a common denominator and setting it equal to 1 i get
Solving that I get and
Plugging these back in I get
Now this is where I am stuck....I my table I cannot find a tranfer related to and I do not know how to manipulate it so I can use the tables.
With all due respect to FernandoRevilla, I think the OP has the correct X(s). [EDIT]: FR has deleted his post. My advice to the OP'er is to complete the square in the denominator of the right-hand fraction, and also break up that fraction into the sum of two simpler fractions. The result will lead you, I think, to trig functions.