{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

test3-1 - for the solution to the equation with Answer the...

Info icon This preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
MATH 315 FALL 2006 TEST 3 SOLUTION KEY Note: the following solutions are for one version of the test; some final solutions for the alternate test version problems are also given. 1. (20 pts.) Use Power series to solve the differential equation with . 1. Find the recursion formula for the coefficients in the power series representation of the solution . Answer: , so , ( alternate test version , ), and , or for . 2. Determine the first six terms in the series for . Answer: using intial value , then , ; final solution : ( alternate test version ). 2. (22 pts.) Use Laplace transforms to solve with , . Answer: the transformed equation becomes or
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
, and therefore . Using partial fractions , so , or , and therefore , , , so and . Then ; final solution : ( alternate test version ). 3. (13 pts.) Find the Laplace transform
Image of page 2