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# m238f10h1 - a y 00 9 y = 0 or b y 00 4 y 13 y = 0 3 True or...

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Mathematics 238 review problems due Thursday September 30, 2010 please show relevant work to get full credit for each problem 1 . Find a continuous solution to each initial value problem ( a ) dy dt = 8 sin 2 t and y (0) = 3 ( b ) dy dt = 2 t if t < 0 sin 2 t if t 0 and y ( - 1) = 5 2 . The function y ( t ) = e - 2 t cos 3 t is a solution to which differential equation:
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Unformatted text preview: ( a ) y 00 + 9 y = 0 or ( b ) y 00 + 4 y + 13 y = 0 3 . True or False: If dy dt = y then y = y 2 2 + C 4 . Calculate the derivative of ( a ) F ( x ) = Z x 2 cos t 2 dt ( b ) G ( x ) = e-4 x Z x 2 cos t 2 dt 5 . Calculate the value of Z ∞ (2 x +3) e-4 x dx...
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