MATH 240 Midterm: MATH 240 KSU 240a3u98
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You must show all relevant work to receive full credit. The point value of each problem is shown in the left hand margin. = 3x + y , x(0) = 1. Suppose the di erential equation: (x2 + 4x + 5)y 3xy y = 0 is solved as a power series about x0 = 0 . Give a lower bound for the radius of convergence of the series solution. Solve using laplace transform: x + 6x + 5x = et sin(t), x(0) = 1, x (0) = 0. Find the general solution using the laplace transform: x + 6x + 9x = et. Name: x + 4x = f (t), x(0) = 0, x (0) = 0. Find the taylor series about x0 = 0 of the solution of the initial value problem: y + y = 0, y(0) = 1, y (0) = 0.