Section 7.7  Convolution

• to be able to find the solution to an initial value problem using the convolution theorem
• to be able to use the convolution theorem to find inverse Laplace transforms of rational functions of s
• to be able to solve integro-differential equations using the convolution theorem

• convolution

 
• properties of convolution

 
• integro-differential equations

 

solved problems - using key ideas

• using the convolution theorem to solve initial value problems, #1

 

 
 
 
 
 
 
 
 
 
 
 
 
 

• using the convolution theorem to find inverse Laplacian transforms, #7,8

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 

solving integro-differential equations, #15,19
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

QUESTION OF THE DAY

Find the inverse Laplacian transform of

SOLUTION

SOLUTION.