test 2 summer 07 - Elementary Differential Equations-Math...

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Elementary Differential Equations-Math 240 Exam 2-Summer 2007 June 29, 2007 Name……………………… Instructor…………………. . 1 2 3 4 5 6 7 8 9 Total This is a closed book exam. You can use a calculator and 8 ½”X 11” sheet of hand written note (both sides).Please write legibly and organize your solutions in a logical and coherent form; answers which are illegible or confusing will not receive credit. 1. (10 Points). Find general solution to ′′′ − = yy 80 .
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2(10 points). Find all solutions to ′′ += = = yy C o s x y y () ,() ,( ) . 00 2 0 π
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3(15 Points).Find the general solution to the differential equation ′′ − += + yy y e x x 2 1 2
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4 (10 Points).Find the general solution to the differential equation yy y y y iv () . ′′′ + ′′ − += 324 8 0
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5. (10 points) A mass of 2 kg is attached to a damping mechanism with damping constant 9 kg/sec. The mass causes the spring to stretch 4.9m. What is the equation of the resulting
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test 2 summer 07 - Elementary Differential Equations-Math...

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