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Q)

On putting y=vx, the homogeneous differential equation x2dy+y(x+y)dx=0 becomes

(1)xdv+(2v+v2)dx=0(2)vdx+(2x+x2)dv=0(3)v2dx(x+x2)dv=0(4)vdv+(2x+x2)dx=0

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