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## Homework Statement

Substituition y=vx , differential equation x

^{2}dy/dx = y

^{2}-2x

^{2}can be show in the form x dv/dx = (v-2)(v+1)

Hence , solve the differential equation x dv/dx = (v-2)(v+1) ,expressing answer in the form of y as a function of x in the case where y > 2x > 0 .

## The Attempt at a Solution

I can only show the equation ,but can't solve the equation as the answer is y =x(2+Ax

^{2}) / (1-Ax

^{2})

TQ.