341hw4 - be good practice for Test 1. A more complete list...

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Homework 4, due Friday September 30th , in class 1. Find the general solution to the differential equation y 000 + 2 y 00 + 10 y 0 = 0 . 2. Find the unique solution to the initial value problem consisting of the differential equation from Question 1, together with the initial conditions y (0) = 7, y 0 (0) = 10, and y 00 (0) = - 70. You may use Maple to assist with this if desired. 3. Graph the solution you found in Question 2. You may use Maple to help with this, of course. How does the solution behave as x approaches infinity? Roughly how quickly does that happen? Note that Questions 4, 5, 6, and 7 can be done by hand, and thus might
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Unformatted text preview: be good practice for Test 1. A more complete list of recommended practice problems is on the webpage. 4. Solve the initial value problem dy dx = 2-2 x y 2 , y (0) = 2 . 5. Solve the dierential equation dy dx + 2 xy = 0 both by using the integrating factor method and by using the separation of variables method. 6. Solve the initial value problem dy dx = 2 x sec y, y (0) = 6 . 7. Solve the initial value problem (1-x 2 ) dy dx = 2 y, y (2) = 3 ....
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