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q6b_soln - Math 415.01 Quiz 6 11:80 recitation(Vutha The...

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Unformatted text preview: Math 415.01 - Quiz 6 - 11:80 recitation (Vutha) The following quiz is worth 25 points. You have 20 minutes to attempt it. Please show all work. Answers without work will receive no credit. You may use both sides of the paper. nomemumbe'r : Vu-qu . I (1) (17 pts) A mass weighing 4 lb stretches a spring 1.5 in. The mass is displaced 2 in in the positive direction and released. Assuming there is an ecternal force of 2cos(3t) lb, solve for the expression describing the motion of the mass. (2) (8 pts) Find the eigenvalues and eigenvectors of the given boundary value problem. 1/” - Ay = 0, 31(0) = 0, 3/0) = 0 n: LLB ; i”) = 5?— ”#7” [-5- 425 l/S Pl . M: i z I/ fEIL/KCI 32. 5 ———* Mun-F km: 3%) 04.: J+ zrédao :> v+3§é ab :5 v; i'ét LACE) 1 c. 035064) + (Lamas-i) of: Aeo'SSL + 135;.“ II ‘ > ' Ur .' - C] CAws‘Si + 35m 5+) 1 ugh]; Qmsgm) 44154064) + g CosCSD 2.4-4 asi— - ‘6‘) 13. “'71:, " Q. 5‘; CALL) 7M = A (“Wk 1 QwG/ig ...
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