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Unformatted text preview: y 008 y + 16 y = 43 te 4 t + 5 t 2 cos(9 t ) 4. (10 points) Determine the longest interval in which you are sure that a solution of the following intial value problem exists. ( x 216)( x + 2) y 00 + 3 xy4 y = 0 , y (0) = 27 , y (0) = 2 5. (15 points) Given that x and x 4 form a fundamental set of solutions of the associated homogeneous dierential equation, nd the general solution of y 004 x y + 4 x 2 y = 9 x + 3 x 5 . 6. (15 points) Find the general solution of x 2 y 007 xy + 16 y = 0 on x > 0. 7. (15 points) Find a polynomial solution of the following dierential equation. (1x 2 ) y 002 xy + 30 y = 0...
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This note was uploaded on 01/27/2012 for the course MATH 427 k taught by Professor Goddard during the Fall '10 term at University of Texas at Austin.
 Fall '10
 GODDARD
 Differential Equations, Equations

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