May 12

section covered in text

7.7.  Convolution
 

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

• convolution
• properties of convolution
• integro-differential equations
• transfer function, H(s)
• impulse response function, h(t)

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
• finding transfer function, H(s), and impulse response function, h(t), #25

QUESTION OF THE DAY

Find the Laplacian transform of

SOLUTION

SOLUTION.