Assignment 7 Solutions

# Assignment 7 Solutions - MAT 1330 Fall 2010 Assignment 7...

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MAT 1330, Fall 2010 Assignment 7 Due Wednesday December 1, at the beginning of class. Late assignments will not be accepted; nor will unstapled assignments. Instructor (circle one): Frithjof Lutscher Angelika Welte Aziz Khanchi Robert Smith? DGD (circle one): 1 2 3 4 Student Name Student Number By signing below, you declare that this work was your own and that you have not copied from any other individual or other source. Signature Question 1. Solve the di±erential equation dy dx = xe x with initial condition y (0) = 5. Solution: y ( x )= ! xe x dx . Using integration by parts with u = x, dv = e x dx , and du = dx, v = e x : y ( x )= xe x + ! e x dx = xe x e x + C . Using the initial condition y (0) = 1+ C =5 C =6. y ( x )= xe x e x +6 . Question 2. Evaluate the following integrals. a) ! cos x sin 2 x dx . Take u = sin x ,toget du = cos xdx and !

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Assignment 7 Solutions - MAT 1330 Fall 2010 Assignment 7...

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