MATH 240 Midterm: MATH 240 KSU math240 Exam3(2008summer)

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

Document Summary

You can use a calculator and 8. 5 11 sheet of hand written note (both sides). detail work must be shown for the full credit. (10)problem. 1. Approximate y(0. 2) using euler"s method with a step size of h = . 1 where y is the solution to the initial value problem dy dx. Solve the initial value problem using the laplace transform y + 2y + 2y = et, y(0) = 1, y (0) = 0. Solve the initial value problem by using the laplace transform x + 6x + 34x = (t 1), x(0) = 0, x (0) = 1. Solve the following initial value problem by using laplace transform x . 6x = t, x(0) = 1, x (0) = 1. Solve the system of equations by using the laplace transform dx dt dy dt. Consider the following di erential equation : mx + cx + kx = (t 1), x(0) = 1, x (0) = 1.