This preview shows page 1. Sign up to view the full content.
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 .)...
View
Full
Document
This note was uploaded on 02/01/2011 for the course MATH 427K taught by Professor Delallave during the Spring '11 term at University of Texas at Austin.
 Spring '11
 DELALLAVE
 Differential Equations, Equations

Click to edit the document details