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Unformatted text preview: 3. (9 points) y = t and y = t 2 are solutions to t 2 y 2 ty + 2 y = 0. Find a particular solution to t 2 y 2 ty + 2 y = t 2 e t . You may leave integrals in your answer. 4. (9 points) y ( t ) satises the dierential equation y ( t ) + y ( t1) = 1 , with y ( t ) = 0 for t 0. Compute the Laplace transform Y ( s ) = L{ y ( t ) } . When your exam is returned, it will have the grade you will receive if you do NOT take the nal exam. In computing that grade, this exam will be weighted more than the rst exam to reect the fact that the nal will emphasize dierential equations. END OF EXAM...
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This note was uploaded on 06/18/2009 for the course MATH 20D taught by Professor Mohanty during the Fall '06 term at UCSD.
 Fall '06
 Mohanty
 Differential Equations, Equations, Integrals

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