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, #7,9
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  

solving integro-differential equations, #15,19

QUESTION OF THE DAY

Find the inverse Laplacian transform of

SOLUTION

SOLUTION.