# sechom_ex - x + 10 ˙ x + 24 x = 0 . 5 . d 2 x dt 2-6 dx dt...

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EXAMPLES OF HOMOGENEOUS SECOND ORDER LINEAR EQUATIONS 1 . d 2 y dx 2 - dy dx = 2 y . 2 . y 00 - 16 y = 0 , with the two sets of initial conditions ( a ) ± y (1) = 1 y 0 (1) = 0 , and ( b ) ± y (1) = 0 y 0 (1) = 1 .

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3 . z 00 - 2 z 0 + z = 0 , with z (0) = 0 , z 0 (0) = 1 .
4 . ¨

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Unformatted text preview: x + 10 ˙ x + 24 x = 0 . 5 . d 2 x dt 2-6 dx dt + 25 x = 0 . 6 . d 2 x dt 2 + 8 dx xt + 25 x = 0 , with x (0) = 0 , ± dx dt ² (0) = 1 2 ....
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## This note was uploaded on 12/02/2009 for the course MATH 352 taught by Professor Staff during the Spring '08 term at University of Delaware.

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sechom_ex - x + 10 ˙ x + 24 x = 0 . 5 . d 2 x dt 2-6 dx dt...

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