I'm finding an explicit solution of this differential equation (x^2-xy)dy = dx, can you(I'm new to D.E) tell if what I did is wrong?

(x^2-xy)dy = dx

>let: y=xv

(x^2-x^2v)(x dv+v dx) = dx

(x dv+v dx) = dx/(x^2-x^2v)

d/dx(xv) = dx/(x^2-x^2v)

d/dx(xv) = dx/{x^2(1-v)}

integration outcome:

xv={1/1-v}{-1/x}+C >>> I considered {1/1-v} as constant



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