Question: Show that the differential equation dy/dx = (4y 2 - x 2 ) / 4xy is non-separable but becomes separable on changing the dependent variable

Show that the differential equation dy/dx = (4y² - x²) / 4xy is non-separable but becomes separable on changing the dependent variable from y to v according to the transformation y = vx. Use this to find the solution of the original equation.

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