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Question Number 94847 by i jagooll last updated on 21/May/20

Answered by john santu last updated on 21/May/20

$$\mathrm{auxilarry}\mathrm{equation}$$$${\lambda }^3-{\lambda }^2+\lambda -1=0$$$$(\lambda -1)({\lambda }^2+1)=0$$$$\lambda =1,\pm i$$$$y_h=A{\mathrm{e}}^{\mathrm{x}}+\mathrm{Bcos}\mathrm{x}+\mathrm{Csin}\mathrm{x}$$

Answered by Raxreedoroid last updated on 22/May/20

$$y=sinx$$$$y^{\prime }=cosx$$$$y^{″}=-sinx$$$$y^{‴}=-cosx$$$$-cosx-(-sinx)+cosx-sinx$$$$=0$$

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