MATH 240 Midterm: MATH 240 KSU math240 Exam3

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

Document Summary

Laplace transforms table is provided on the last page of this exam. You must show all your work to receive credit. Please note that some problems require using a certain method. If you use another method, you will not received credit. (10) 1. Solve the system using laplace transforms dx dt dy dt. Solve, using laplace transforms, the initial value problem x . X = 0 x(0) = 0, x (0) = 1, x (0) = 1. 3 (15) 4. (a) rewrite the following equation (together with initial conditions) as a rst order system: x . 2tx + x = 0, x(0) = 0, x (0) = 1 (b) use euler"s method with step size h = 0. 5 to approximate x(1) and y(1) for this system. Use the improved euler"s method with step size h = 1 to approximate y(2) for the following initial value problem: dy dx. = xy + x + 2, y(1) = 0.