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M 427K- De la Llave-Fall 2005-Test 2

# M 427K- De la Llave-Fall 2005-Test 2 - M427K(Unique number...

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/ M427K (Unique number 58610 ) In class exam Nov 8 2005 Name (PLEASE PRINT): Student EID Number: Please show all your work and describe your reasoning. Indicate which method you are using. Start working in the page and continue in the back. If you need extra pages, feel free to attach them but put an indication that there is a break of continuity. Try to be as neat as possible. I No books, calculators or notes allowed. There should be 5 problems and a table of Laplace transforms. In all the problems, the independent variable is x or t and the dependent variable is y. Unless a method of solution is specified, you can use any correct method. Extra credit will be given by solving a problem by different methods (if both solutions are correct). A general solution in the form F(x, y) = C is acceptable when solving the equation for y is too complicated. Problem 1 (20 points) Solve the initial value problem ~~ '(0)=0 'j~ c,€.. l,--z. ~-l-..:!Jt.-==-~--I~-\,l4-';:;::~=-~~""'" ) Co') -:. C. ,t\) \- z, (0 J "- using Laplace transform. '-J -::.. e. ~ ~ 'J J",,- ::'c., ~~"" .i- )(z.

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