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Unformatted text preview: tions, if possible. (a) 2 y 00 + 5 y3 y = 0 (b) y 0004 y = 0 (c) y 0020 y + 100 y = 0 Your signature: (6) For each of the following dierential equations nd all numbers r , real and complex, such that e rx is a solution. Find all linearly independent real solutions. (a) y + 4 y + 5 y = 0 (b) y (5) + 4 y 000 = 0 Your signature: (7) Find the solution of the initial value problem y 00 + 2 y + 2 y = 0 , y (0) = 2 , y (0) =3 Your signature: (8) Find the solution of the given system of dierential equation. (a) y 00 + 2 y3 y = 5 e 2 x ; y (0) = 5, y (0) = 2. (b) y 00 + 3 y + 2 y = 36 xe x . (c) y 00 + 3 y + 2 y = 20 cos 2 x ; y (0) =1, y (0) = 6....
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This note was uploaded on 03/21/2010 for the course MA 2132 taught by Professor King during the Spring '07 term at NYU Poly.
 Spring '07
 King
 Differential Equations, Equations

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