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Unformatted text preview: y 00 + 6 y + 9 y = f ( t ) where f ( t ) is given by the following functions: (a) f ( t ) = 2 t sin(-3 t ) + 7 cos(-3 t ) (b) f ( t ) = te-3 t + 2 e-3 t (c) f ( t ) =-t 2 e t 3. Use the method of variation of parameters to nd a general solution to the dierential equation. y 00-2 y + y =-3 e t t 4 4. Find the inverse Laplace transform of the following functions. (a) s 2-4 s +7 ( s 2-6 s +9)( s-1) (b) 3 s +6 ( s 2 +2 s +10) TABLE OF LAPLACE TRANSFORMS ON BACK...
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This note was uploaded on 03/30/2009 for the course MA diff eq taught by Professor Fenn during the Spring '09 term at N.C. State.
- Spring '09