MATH201 Midterm 2010 W Solution

# MATH201 Midterm 2010 W Solution - MATHEMATICS 201 MIDTERM...

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MATHEMATICS 201 MIDTERM EXAMINATION 24 February 2010 90 minutes Please print clearly in the table below: FIRST NAME SURNAME STUDENT ID Indicate your section in the table below: X Section Instructor EQ1 TB Moodie ER1 E Woolgar ES1 X Yu ET1 A Novoseltsev EU1 M Roberts EV1 S Vardarajan This exam has n pages including this cover. Please ensure that you have all pages, and write your name at the top of each page. The exam will be marked out of 50 points . There are 5 questions. The points for each question part are indicated in the margin, as well as on the last page. Answers must be accompanied by adequate justification. If you run out of space, use the back of any page for answers, as needed. Clearly direct the marker to answers that you provide on the back of a page. No calculators, notes, texts, or any other aids are allowed.

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1. (a) Find y ( x ) such that xy 0 = 1 + 2 y + x 3 y (1) = 1 Solution: y 0 - 2 x y = 1 x + x 2 is linear. The integrating factor is μ = exp Z - 2 x dx = e - 2 ln | x | = x - 2 .
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• Fall '16
• following differential equations, X Yu

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