course | course_year | question_number | tags | title | year | |||
---|---|---|---|---|---|---|---|---|
Complex Methods |
IB |
36 |
|
4.II.15F |
2007 |
(i) Use the definition of the Laplace transform of
to show that, for
(ii) Use contour integration to find the inverse Laplace transform of
(iii) Verify the result in (ii) by using the results in (i) and the convolution theorem.
(iv) Use Laplace transforms to solve the differential equation
subject to the initial conditions