If you are asked to find the Inverse Laplace that involves Partial Fractions Decomposition you can use option 4 A in Differential Equations Made Easy and enter your given function f(s) in the top box as shown below:
After the decomposition is performed the inverse laplace transform is performed on each term.
The Differential Equation Made Easy Made Easy for the TiNspire at www.TiNspireApps.com should be called Transforms Made Easy as we include a lot of LaPlace Transform options involving Unit Step and Heavyside Functions.
Check out the screenshot of the menu below:
The Laplace Transform of a Unit Step function is performed by entering the shift c :
To LaPlace Transform Unit Step functions of the type u(t-c)*f(t-c) you just enter
f(t) and again the shift c . Voila.
To LaPlace Transform Unit Step functions of the type u(t-c)*f(t) you just enter
f(t) and again the shift c and just follow the steps provided.