Unformatted text preview: a) y 000-y 00-y + y = 2 e-x + 3. b) y 000 + 4 y = x, y (0) = y (0) = 0 , y 00 (0) = 1. 5) Determine a suitable form for the particular solution y p ( x ) if the method of undetermined coeﬃcients (M.U.C) is to be used. Do not evaluate the coeﬃcients . a) y 000-2 y 00 + y = x 3 + 2 e x b) y (4)-y 000-y 00 + y = x 2 + 4 + x sin x . c) y (4) + 4 y 00 = sin 2 x + xe x + 4. 6) For each of the equations in exercise #5, obtain the diﬀerential operator g ( D ) such that g ( D ) R ( x ) = 0 and then ﬁnd the form of the particular solution y p ( x ) from g ( D ) f ( D ) y = g ( D ) R ( x ) = 0 ....
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This note was uploaded on 06/18/2010 for the course COMPUTER S Math 225 taught by Professor Yosumhoca during the Spring '10 term at Bilkent University.
- Spring '10