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Unformatted text preview: Math 16C Sec 2 (Malkin) Name: Mid-term exam 1 Student ID: Wed April 30th 2008 Signature: DO NOT TURN OVER THIS PAGE UNTIL INSTRUCTED TO DO SO! Write your name, student ID, and signature NOW! NO NOTES, CALCULATORS, OR BOOKS ARE ALLOWED. NO ASSISTANCE FROM CLASSMATES IS ALLOWED. Read directions to each problem carefully. Show all work for full credit. In most cases, a correct answer with no supporting work will NOT receive full credit. Be organized and neat, and use notation appropriately. You will be graded on the proper use of derivative and integral notation. Put units on answers where appropriate. Please write legibly!! # Students Score Maximum possible Score 1 15 2 13 3 12 4 10 Total points 50 1 1. (a) (3 points) Verify that the equation y = e x 3 is a solution the differential equation y - 3 x 2 y - 6 xy = 0. (b) (6 points) Use any method to find the general solution of the differential equation y + 2 xy = x 3 e x 2 . You must write y as a function of x ....
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- Spring '11