team-q4 - MAP 2302 - FALL 2011 TEAM QUIZ 4 FRIDAY, OCTOBER...

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MAP 2302 - FALL 2011 TEAM QUIZ 4 FRIDAY, OCTOBER 21 TEAM NUMBER: TEAM CODENAME: TEAM MEMBERS PRESENT: Instructions: Answer all questions. Show all necessary working and reasoning. Your work should be written in a proper and coherent fashion, and in a way that any student in the class can follow your work. Only scientific or basic calculators are allowed. A Table of Integral is supplied. Please write on only one side of the paper, and use a left-hand margin. TOTAL POINTS: 30 1 . [10 pts] Find the general solution of the differential equation y ′′ + y = tan t, where - π 2 < t < π 2 . 2 . [5 + 5 + 5 = 15 pts] You are given that the functions z 1 ( t ) = 1 , z 2 ( t ) = 1 + t, z 3 ( t ) = 1 + t 2 , are solutions of a certain linear second order nonhomogeneous DE (*) y ′′ + p ( t ) y + q ( t ) y = f ( t ) . (i) Find two linearly independent solutions y 1 ( t ) and y 2 ( t ) of the corresponding homogeneous
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team-q4 - MAP 2302 - FALL 2011 TEAM QUIZ 4 FRIDAY, OCTOBER...

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