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Unformatted text preview: V ) < t < / (2 V ). The nonhomogeneous term, cos V t , suggests a particular solution o the orm y p ( t ) = A cos V t + B sin V t. Substituting y p ( t ) into the equation yields ( A cos V t + B sin V t ) + ( A cos V t + B sin V t ) = cos V t V 2 A cos V t V 2 B sin V t ) + ( A cos V t + B sin V t ) = cos V t 1 V 2 ) A cos V t + 1 V 2 ) B sin V t = cos V t . Equating coecients, we get A = 1 1 V 2 , B = 0 , 208...
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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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