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 ) = te3 t + 2 e3 t (c) f ( t ) =t 2 e t 3. Use the method of variation of parameters to ﬁnd a general solution to the diﬀerential equation. y 002 y + y =3 e t t 4 4. Find the inverse Laplace transform of the following functions. (a) s 24 s +7 ( s 26 s +9)( s1) (b) 3 s +6 ( s 2 +2 s +10) TABLE OF LAPLACE TRANSFORMS ON BACK...
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 Spring '09
 FENN
 Laplace, MATHEMATICS NORTH CAROLINA, STATE UNIVERSITY MATH

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