MATH 240 Midterm: MATH 240 KSU Test 3u05

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

Document Summary

Answers with no work will receive non credit. No calculatrs or notes are allowed on this exam: (15 pts) solve the following system of di erential equations: dy dt. = 4x 3y x(0) = 2 dx dt. = x y y(0) = 1: (5 pts) convert the following di erential equation into a system of rst-order linear equations: x + 2x . 7x = 0: (10 pts) using the improved euler method with a stepsize of h = 0. 1 to approximate the vaule of y(0. 1) for the solution to the di erential equation dy dx. = 3x 2y y(0) = 1: (15 pts) using laplace transforms to solve the following initial value problem x . 12x + 36x = 0 x(0) = 3 x (0) = 18: (15 pts) using laplace transforms to solve the following di erential equation x . The spring has spring constant of 3kg/sec2 and is at rest.