m3354_f05_q6_sol

m3354_f05_q6_sol - + Bt + C y p = 2 At + B y 00 p = 2 A 2...

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Math 3354 Sec. 2, Quiz # 6 Name KEY 1. Find a candidate for a particular solution y 00 - 2 y 0 + y = te 2 t cos( t ). (BUT DO NOT SOLVE FOR THE CONSTANTS) y p = ( At + B ) e 2 t cos( t ) + ( Ct + D ) e 2 t sin( t ) 2. Find a particular solution of y 00 - y = t 2 . y p = At 2
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Unformatted text preview: + Bt + C y p = 2 At + B y 00 p = 2 A 2 A-( At 2 + Bt + C ) = t 2 -A = 1 so A =-1 also 2 A-C = 0 and-B = 0 so B = 0 and C =-2 y p =-t 2-2...
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