MATH 240 Midterm: MATH 240 KSU math240 Exam2
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You must show all your work to receive credit. (10) 1. Find the general solution of the di erential equation y(4) + 4y + 4y = 0. Find the general solution of the di erential equation y . 2y + y = 4e x + x2 y(0) = 8, y (0) = 4. Find the general solution of the di erential equation (you must compute all integrals for a full credit) y + y = 2 kg is attached to a spring with a spring constant 2kg/sec2. Critically damped? (b) find the equation of resulting motion if c = 5. A mass of 1kg is attached to an undamped spring with a spring constant 4kg/sec2. The mass is subject to an external force of 4 cos(2t) newtons. A mass of 100g is attached to an undamped spring, which causes the spring to stretch 98cm. The mass then was pulled down an additional 30cm and given a downward velocity of 4m/sec.