Test-Review4

Test-Review4 - t t e b e = 7. Compute the Laplace transform...

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Math 2090, Fall 2009. Study guide for exam-4 Review 6.7, 7.1 -7.4, 7.6 and 8.1-8.7 1. Determine the general solution to the differential equation. 2. Convert the DE ( 29 ( 29 = = - + - a e x a t x t x t , sin 2 2 constant to a first order linear system and write the resulting system in matrix form.
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3. Determine the general solution to the system ( 29 ( 29 X AX t t = when 0 3 1 A 2 1 1 0 0 2 - = - - 4. Solve the Initial value problem. ( 29 ( 29 X AX t t = when 0 4 A 4 0 = - and ( 29 1 X 0 1   =    
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5. Solve the Initial value problem. ( 29 ( 29 4 0 2 3 0 0 2 2 2 1 2 1 2 1 1 - = + = = + = x x x x x x x x 6. Use the variation of parameters technique to find a particular solution to ( 29 ( 29 X AX ( ) t t b t = + Where 1 1 A 1 1 - = and 3 20 12
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Unformatted text preview: t t e b e = 7. Compute the Laplace transform of each of the following functions using the Laplace transform tables. 8. Find the inverse Laplace transform of each of the following functions. You may use the Laplace transform tables. 9. Compute the Laplace transform of ( 29 ( 29 ( 29 2 2 1 f t t u t =-10. Solve each of the following differential equations by means of the Laplace transform: (a) ( 29 ( 29 ( 29 , 1, where 0, 4 4cos , 4 4 y y f t y t f t t t -= = < = -...
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Test-Review4 - t t e b e = 7. Compute the Laplace transform...

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