Answers - t + C 2 e t 4. a) W = 0 b) W = 1 c) Yes. 5. a) y...

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Answers 1. a) y ( t ) = C 1 e 3 t sin ( t ) + C 2 e 3 t cos ( t ) b) y ( t ) = - e 3 t sin ( t ) + e 3 t cos ( t ) c) y p = A d) y p = At + B e) y p = Ae t f) y p = ( At + B ) e t g) y p = A cos(3 t ) + B sin(3 t ) 2. c) y ( t ) = 19 10 e 3 t sin ( t ) - 3 / 10 e 3 t cos ( t ) + 3 / 10 d) y ( t ) = 31 25 e 3 t sin ( t ) - 9 50 e 3 t cos ( t ) + 9 50 + 3 / 10 t e) y ( t ) = 11 5 e 3 t sin ( t ) - 3 / 5 e 3 t cos ( t ) + 3 / 5 e t f) y ( t ) = 34 25 e 3 t sin ( t ) - 12 25 e 3 t cos ( t ) + 3 25 (4 + 5 t ) e t g) y ( t ) = 496 325 e 3 t sin ( t ) - 3 325 e 3 t cos ( t ) - 54 325 sin (3 t ) + 3 325 cos (3 t ) 3. a) y = C 1 e t + C 2 e 2 t b) , c) y ( t ) = 3 / 2 + t + C 1 e 2
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Unformatted text preview: t + C 2 e t 4. a) W = 0 b) W = 1 c) Yes. 5. a) y ( t ) = tC 1 + C 2 t b) y ( t ) = tC 1 + C 2 t-1 c) y ( t ) = tC 1 + C 2 t-2 ln( t )+1 4 t 6. y ( x ) = C1 x 2 + C2 x 2 2 x + 1 1...
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This note was uploaded on 07/17/2008 for the course MATH 415 taught by Professor Costin during the Fall '07 term at Ohio State.

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