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Unformatted text preview: the function ( t 2 / 10) e 5 t is also a particular solution.) 25. A general solution to the corresponding homogeneous equation is y h ( x ) = c 1 y 1 ( x ) + c 2 y 2 ( x ) = x 1 / 2 ( c 1 cos x + c 2 sin x ) . To Fnd a particular solution to the original equation, we apply the method of variation of parameters. To form the system (9) on page 195, we need y 1 and y 2 . Applying the product rule, we get y 1 ( x ) = 1 2 x 3 / 2 cos x x 1 / 2 sin x, 225...
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This note was uploaded on 03/29/2010 for the course MATH 54257 taught by Professor Hald,oh during the Spring '10 term at University of California, Berkeley.
 Spring '10
 Hald,OH
 Math, Differential Equations, Linear Algebra, Algebra, Equations

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