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Unformatted text preview: Quiz ere is no time limit on this quiz; you may use your book and your notes. You may discuss general issues about the course material (e.g., "How do you set up a double integral"), but not speci c quiz questions (e.g., "How did you do number (or a problem almost exactly like number )?"). . Solve the initial value problem: y + y + y = y( ) = y ( ) =  . Rewrite the function y(t) in the form y(t) = Re t cos(t  ). . A kg mass was initially at rest, attached to the end of a vertically hanging spring. When given an initial downward velocity of m/s from its equilibrium rest position, the mass was observed to attain a maximum displacement of . m from its equilibrium position. What is the value of the spring constant k? . A one pound mass is bobbing on a spring attached to the ceiling. e spring constant k and the damping coe cient have the same (positive) value (however, they have di erent units). Of the four classi cations of the motion we covered (overdamped, critically damped, underdamped, or undamped), which one does the system exhibit? If there is more than one possible type, identify which types are possible. (Hint: Use equation ( ) on p. to start.) . Use the Method of Undetermined Coe cients to nd the general solution to the equation y  y + y = te t . ...
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This note was uploaded on 04/05/2008 for the course MATH 2214 taught by Professor Edesturler during the Spring '06 term at Virginia Tech.
 Spring '06
 EDeSturler
 Equations

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