MATH 240 Midterm: MATH 240 KSU 240afu98

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

Document Summary

You may use calculators and one page with hand-written formulas. You must show all relevant work to receive full credit. The point value of each problem is shown in the left hand margin. Name: y + y y3 = 0. Find an approximation of y(. 2) , using euler"s method with stepsize h = . 1 . y = cos(xy), y(0) = 0. Name: consider the autonomous equation: dp dt. Name: x = 2x + 4y, y = 3x 2y, x(0) = 1 y(0) = 2. A mass of 1 kg is attached to a spring, which causes the spring to streach. The damping constant of the spring is 3 kg/sec . The spring is subject to an external force of 2 cos(3t) n , but is not given any initial displacement or velocity. Name: y + 3y + 2y = e t. Find the general solution: x 2x + 2x = f (t) (10) 9.