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Mathematics - Calculus

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Please help with this differential equation and an explanation at each step (especially the substitution step)
xdx +(y-2x)dy=0.

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Solution Summary

A complete, neat and step-by-step solution to the differential equation is provided.

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x dx + (y - 2x) dy = 0

x + (y - 2x)(dy/dx) = 0

dy/dx = -x/(y - 2x)

dy/dx = x/(2x - y)

dy/dx = 1/[2 - (y/x)]

Let y/x = z then y = zx and ...

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