Inverse Laplace Transform using Partial Fractions Step by Step – Differential Equations Made Easy

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.

 

 

Voila!

LaPlace Transforms involving Unit Step and Heavyside Functions using the TiNspire CAS

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.

This and many other APPS available at www.TiNspireApps.com

Finding Transforms using the TiNspire CX CAS: Fourier, Laplace and Z Transforms – using Differential Equations Made Easy

Finding Transforms using the TiNspire is pretty straightforward. Using the Differential Equation Made Easy APP you can do the following:
1) LaPlace and Inverse LaPlace Transforms
View some examples here:
https://tinspireapps.com/blog/simple-inverse-laplace-transforms-using-the-ti-nspire-cas-cx/

https://tinspireapps.com/blog/advanced-inverse-laplace-transforms-partial-fractions-poles-residues-using-the-tinspire-cas-cx-in-differential-equations-made-easy/

2) Fourier and Inverse Fourier Transforms
3) Fourier Series

You can also look up the following Transforms as reference tables:

LaPlace and Inverse LaPlace Transforms
Fourier and Inverse Fourier Transforms
Z Transforms and Inverse Z Transforms (the apps only offers table look ups but no computations.)

Below’s screenshot gives an idea of the Transforms and its uses.

Additionally, 2. order Differential Equations can be solved using LaPlace Transforms – step by step.

 

Download : www.TINspireApps.com

Advanced Inverse Laplace Transforms (Partial Fractions, Poles, Residues) using the TiNspire CAS CX – in Differential Equations Made Easy

See how to find Advanced Inverse Laplace Transforms  involving Partial Fractions, Poles, Residues using the TiNspire CAS CX in the Differential Equations Made Easy APP:

 

Another example: