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".

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- December 10th 2007, 01:21 PMAuxiliaryLaplace Transform/Unit Step Func.
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". - December 12th 2007, 12:04 PMAuxiliary
Does anyone know how to do laplace transforms? :confused:. 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! - December 12th 2007, 02:50 PMAuxiliary
No one knows of Laplace Transforms?

I attached a file to show an example done in-class ... this problem is frustrating me. It's the last thing I have to do in this course too!