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09-22-review - Dierential Equations Fall 2011 Friday...

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Differential Equations — Fall 2011 Friday, 9/22/11 In-class review for Sections 4.2–4.5 1 Find the general solution to the differential equation y ′′ + 4 y + 13 y = 0 . 2 Find the general solution to the differential equation y ′′ 4 y + 4 y = e 2 t . 3 Find the general solution to the differential equation y ′′′ + y ′′ + y + y = 0 . Hint: one of the roots of the corresponding characteristic polynomial is r = 1 . Flip over for one more problem...
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Differential Equations — Fall 2011 Friday, 9/22/11 4 In an initial value problem, you are given a differential equation, to- gether with a value of y and a value of y . In a boundary value problem , on the other hand, you are given a differential equation and two values
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