Inverse Laplace Transforms Using the Transformation Tables

 

Example 1  

Example 2  

Example 3  

 

Example 1:

Using Heaviside Cover Up method we calculate the coefficients:

Substituting the coefficients and continuing the inverse Laplace transform we have:

 

Example 2:

 

Using Heaviside Cover Up method and Equation of Coefficients method, we calculate the coefficients:

Substituting the coefficients and continuing the inverse Laplace transform, we have:

 

Example 3: