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PDF-S.Ghorai2thenitistrivialtoprovethatyp(x)=yp1(x)+yp2(x)++ypn(x)isapa PDF document

5b2 5c2 25d14 25HencethegeneralsolutionisyexC1cosxC2sinx1 5xsinx2 5xcosx2 25cosx24 25sinxAliterAnnihilatormethodWritingDddxwewriteD22D2ypxsinxNotethatD212xsinx0Hence

5;b=2 5;c=2 25;d=14 25Hence thegeneralsolutionisy=ex(C1cosx+C2sinx)+1 5xsin(x)+2 5xcosx+2 25cosx+24 25sinxAliter:(Annihilatormethod)WritingDd=dx wewrite(D22D+2)yp=xsinx:Notethat(D2+1)2xsinx=0.Hence

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S.Ghorai2thenitistrivialtoprovethatyp(x)=yp1(x)+yp2(x)++ypn(x)isapa: Transcript

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