Solve the IVP:
where
NOTE: I used because I wasn't sure how to do the capital curly "U" that the book uses. This is called the "unit step function".
Does anyone know how to do laplace transforms? . I keep trying it, and I keep getting different results. Here are my attempts:
NOTE: I will denote L to be the laplace operator symbol as I don't know how to do a curly L, and [ and ] will denote { and }, respectively.
Use partial fractions:
And then not sure how to get this to piecewise func, but I don't think this is right any way. Please help!