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PDF-SecondOrderLinearEquationsGeneralFormoftheEquationGeneralForm:a(t)y00+ PDF document

b24ac 2a32Thesolutionof29isgivenbyRealRootsr16r2yhC1er1tC2er2t33Repeatedr1r2yhC1C2ter1t34Complexr i yHe tC1cos tC2sin t35Thesolutionof30isyypyhwhereyhisgivenby3

b24ac 2a(32)Thesolutionof(29)isgivenby:RealRoots(r16=r2):yh=C1er1t+C2er2t(33)Repeated(r1=r2):yh=(C1+C2t)er1t(34)Complex(r= i ):yH=e t(C1cos t+C2sin t)(35)Thesolutionof(30)isy=yp+yhwhereyhisgivenby(3

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