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Unformatted text preview: many terms as you like, cause, heck, its a sample test.) 5. Let f ( t ) = 3 for 0 t < 2 and f ( t ) = t for 2 t < 4 and f ( t ) = 0 if t > 4. Find L { f ( t ) } . 6. Find L1 6 e3 s s 2 + 4 . 7. Use Laplace transforms to solve the IVP: y + y = sin( x ) ,y (0) = 1 . 8. Express the function in problem 5 in terms of unit step functions. 9. Solve the IVP y 00 + 4 y + 5 y = 3 ( t2)2 ( t3) , y (0) = 0 , y (0) = 0 . 10. Find the eigenvalues and corresponding eigenfunctions to the BVP y 00 + y = 0 , y (0) = 0 , y (3) = 0....
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This note was uploaded on 05/02/2011 for the course M 427K taught by Professor Fonken during the Spring '08 term at University of Texas at Austin.
 Spring '08
 Fonken
 Differential Equations, Equations

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