Assignment #5 - Stephanie Campbell due at 11:55pm EST...

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Stephanie Campbell Assignment 5 MATH263, Fall 2010 due 11/09/2010 at 11:55pm EST. You may attempt any problem an unlimited number of times. 1. (1 pt) Find y as a function of x if y ( 4 ) - 4 y + 4 y = 64 e - 2 x , y ( 0 ) = 8 , y ( 0 ) = 4 , y ( 0 ) = 8 , y ( 0 ) = - 8 . y ( x ) = 2. (1 pt) Find a particular solution to y + 6 y + 8 y = - 5 xe 5 x . y p = 3. (1 pt) Find a particular solution to y + 5 y - 14 y = 729 x 2 e 2 x . y p = 4. (1 pt) This question is designed to test your ability to formulate the correct try in the method of undetermined coeffi- cients. For each of the following equations you must enter the correct try for a particular solution. The undetermined coeffi- cients must be the upper case letters P, Q, R, S, T etc. starting at P and using as many as you need in order. If you need three coefficients, then use P, Q and R. If you need four coef- ficients, then use P, Q, R and S. Answers with unnecessary co- efficients will not be accepted. Also please note that Webwork will not accept complex numbers. Thus instead of entering Pe ( 3 + 2 i ) x + Qe ( 3 - 2 i ) x you must enter the equivalent real-variable form e 3 x (
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