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Differential EquationsEasyExact Equations & Substitutions

Exact Equations & Substitutions · Easy problem

The equation y′=x2+3y22xyy' = \dfrac{x^2 + 3y^2}{2xy} is homogeneous. With y=vxy = vx it becomes x dvdx=g(v)x\,\dfrac{dv}{dx} = g(v) for some function gg. Find g(3)g(3).