MATH 240 Midterm: Kansas State MATH 240 m240x3soln s11

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Name:___________________________________: note: you may use the table of laplace transforms which is attached at f t t cosh( ) t the end of the test, find the laplace transform of, find the inverse laplace transform of. Name:___________________________________: solve the initial value problem t. "" 6 " 8 y y y (0) 0, y. Name:___________________________________: find the general solution for the euler equation. Name:___________________________________: match the systems on the left with the graphs on the right. Name:___________________________________: solve the initial value problem (your solution will involve an integral) f t. , y(0) = 0, y" (0) = 0. Name:___________________________________: find the a priori lower bound for the radius of convergence of the series solution about x0 = 0 to the equation. Name:___________________________________: suppose x and y satisfy the system x. 3 , y x (0) a x y y (0) b dx dt dy dt.

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