S.Ghorai22.2HomogeneousformLettheODEbeoftheformy0=f(y=x)Inthiscase,sub - PDF document

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S.Ghorai22.2HomogeneousformLettheODEbeoftheformy0=f(y=x)Inthiscase,sub - PPT Presentation

dxeyftoahomeogeneousODEWhathappensifaebdComment2AlsoanODEoftheformy0yxgxhyxcanbereducedtotheseparableformbysubstitutingvyxExample3xyy0y22x2y12SolutionSubstitutingvyxwendv ID: 166068

dx+ey+f!toahomeogeneousODE.Whathappensifae=bd?Comment2:Also anODEoftheformy0=y=x+g(x)h(y=x)canbereducedtotheseparableformbysubstitutingv=y=x.Example3.xyy0=y2+2x2;y(1)=2Solution:Substitutingv=y=xwendv

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