Unformatted text preview: a rt 1 Problem 4 (20 points) Use the method of variation of parameters to find the general solution of the equation t 2 y"  2y = 3t 2 1 knowing that Y 1 (t) = t 2 , Y 2 (t) = t1 are solutions of the homogeneous equation . Problem 5 (20 points) A mass of 100g stretches a spring 5cm when you hang the mass from the spring. Suppose that the ma s s is also attached to a damper of constant 400dyna  sec/cm. If the mass is pulled 2cm and then released without initial velocity, find its position as a function of time. (Use the acceleration of gravity 10m/s 2 .)...
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 Spring '11
 DELALLAVE
 Differential Equations, Equations, Laplace, general solution, 2cm, 5cm

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