m3354_f05_q6_sol

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

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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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This note was uploaded on 10/19/2011 for the course MATH 2254 taught by Professor Gilliam during the Fall '05 term at Texas Tech.

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