Test1a - Mathematics 2M03 Section C1: Test 1 Instructor:...

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Mathematics 2M03 Section C1: Test 1 Instructor: Dr. D. Pelinovsky Date: October 15, 2007, 13:30-14:20 NAME: STUDENT ID NUMBER: Instructions: This test paper is printed on both sides of the paper. It includes five questions on eight pages. The last two pages are blank and may be used for rough work. You are responsible for ensuring that your copy of the test is complete. Bring any discrepancy to the attention of the invigilator. Only the Casio FX-991 calculator is allowed. For full credit of questions 1 and 2, you must show all your work. For multiple-choice questions 3, 4, and 5, you need to write the letter answer in the box on the front page. An incorrect letter answer is worth zero marks. The total number of points for this test is 20. Problem Points Answer Score 1 7 N/A 2 7 N/A 3 2 4 2 5 2 Total 20 Page 1 of 8
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Page 2 of 8 1. Consider the Bernoulli equation dy dx + ( x + 1) y = e x 2 y 3 (a) Use the substitution u = 1 y 2 and reduce the Bernoulli equation to a linear equation. (b) Solve the linear equation by using an integrating factor.
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Test1a - Mathematics 2M03 Section C1: Test 1 Instructor:...

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