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Unformatted text preview: SAMPLE Math 16C Sec 2 (Malkin) Name: Final Exam Student ID: June 12th 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. Please write legibly! # Students Score Maximum possible Score 1 10 2 10 3 10 4 10 5 10 6 5 7 10 8 5 9 10 10 10 11 5 12 5 Total points 100 Page 1 of 12 SAMPLE 1. (a) (2 points) Verify that y = 2 e- t + 10 is a solution of the differential equation y + y = 10 . (b) (4 points) Use any method to find the general solution of the differential equation x 2 y- 2 y 2 = xy 2 . (c) (4 points) Use any method to find the general solution of the differential equation xy- y = x ( ln ( x )) 3 ....
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- Spring '11