# Quiz 8 - y ² = A ± x y ² . where A = ±-4 9 ² . then...

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Quiz 8 – Math 322 – Spring 2010 Name: Signature: This Quiz will count both as a quiz 8 and as the homework for the March 27 week. Question 1. Solve the initial value problem y 00 - 3 y 0 + 2 y = e x y (0) = 1 ,y 0 (0) = 0

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2 Question 2. (a) Write down the second order diﬀerential equation corre- sponding to the ﬁrst order linear system ± x
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Unformatted text preview: y ² = A ± x y ² . where A = ±-4 9 ² . then solve for x ( t ) and y ( t ). (b) Show that 9 x 2 + 4 y 2 = const. What can you say about the phase plane of the the diﬀerential system in part (a) (Make sure to graph it using pplane )? 3 Question 3. Solve y 00 + 16 y = sin 4 x...
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## This note was uploaded on 05/23/2010 for the course MATH 322 taught by Professor Staff during the Spring '08 term at University of Arizona- Tucson.

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Quiz 8 - y ² = A ± x y ² . where A = ±-4 9 ² . then...

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