quiz2sol - e-t . (5 points). 1. The characteristic equation...

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TA: R McDougal Name: Math 415 18 October 2007 Quiz II Answer each question as completely as you can; remember you must show all work for full credit. You may not consult books, notes, or each other for this quiz. Good luck! 1. Find the general solution of y 00 + 2 y 0 - 3 y = 0. (5 points). 2. Find a differential equation whose general solution is y = c 1 e 5 t + c 2
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Unformatted text preview: e-t . (5 points). 1. The characteristic equation is 0 = r 2 + 2 r-3 = ( r + 3)( r-1). Thus the general solution is y = C 1 e-3 t + C 2 e t . 2. This would correspond to a characteristic equation of 0 = ( r-5)( r + 1) = r 2-4 r-5, so a corresponding dierential equation would be y 00-4 y-5 y = 0....
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