SK - Tuto 5 Questions Review

SK - Tuto 5 Questions Review - MATH 263 Final EXflIfl -...

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Fall 05
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Unformatted text preview: MATH 263 Final EXflIfl - 17 Dee. 2004 1. (15 marks) (a) Find the eelutinn mm) of the differential equation 2(3339'2 + irrir' : a. [b] Find an implicit expression for the the general solution of the differ-v ential equation 2 - ein (Zirem yz + "— Wrin— + (Zewgy + eoeylnwfly = {L {e} Fin the solution of the (iifl'ernntial nquatinn (13; 31:2 + 9:132 — = -—~——-u_ , " 1b 0 da: Eye: (‘L l 2. (10 marks) Uee mriatien ef parameters to solve ,2” a: y +1ty'firl'y : 211: (1r: 1‘;- 0). Nate: 1narke will be awarded based on the metherl. Fall 05 1. (1D paints} Solve the initial value prnblern % renew) + 3yein(m) = (ees(w))2, :- 1- (10 points) Find the general solution of the equation .9!” + Eylr+yi = 61:). 4. (10 marks) Given that y = e‘” is a solution of (:L‘ — My” — my’ + y = 0, find a second linearly independent solution to the difierential equation. ...
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SK - Tuto 5 Questions Review - MATH 263 Final EXflIfl -...

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