MATH 240 Midterm: MATH 240 KSU 240b3u98

• School: Kansas State University
• Department: Mathematics
• Course: MATH 240
• Professor: All

Document Summary

You must show all relevant work to receive full credit. The point value of each problem is shown in the left hand margin. = x 3y , y(0) = 1. L 1(cid:26) 3s 2 s2 + 4s + 5(cid:27) = (10) 3. Suppose the di erential equation: (x2 + 6x + 10)y xy + 7y = 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 + 5x + 4x = et cos(t), x(0) = 1, x (0) = 0. Find the general solution using the laplace transform: x + 8x + 16x = e t. Name: x + 9x = g(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) = 0, y (0) = 1.