quiz7ans - e 2 x y ) ′ = 2 x . Integrate both sides to...

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Math 222, Quiz 7 Name: Circle One: 11:00 12:05 Instructions: Answer the following questions fully, and circle your an- swer. Solve the following diFerential equations: a) dy dx = 3 x 2 e y Gathering the y terms on the left and x terms on the right, we get e y dy = 3 x 2 dx . Integrate both sides to get e y = x 3 + C . Thus, y = ln( x 3 + C ). b) e 2 x y + 2 e 2 x y = 2 x Notice right away that the left hand side is (
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Unformatted text preview: e 2 x y ) ′ = 2 x . Integrate both sides to get e 2 x y = x 2 + C . Then y = x 2 + C e 2 x Bonus (1pt): What person, whom Will ±errell commonly portrayed on Saturday Night Live, died this week? Robert Goulet, a renowned singer. 1...
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This note was uploaded on 08/08/2008 for the course MATH 222 taught by Professor Wilson during the Fall '08 term at University of Wisconsin.

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