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Differential EquationsEasyExact Equations & Substitutions

Exact Equations & Substitutions · Easy problem

The equation (xy+1) dx+x2 dy=0(xy + 1)\,dx + x^2\,dy = 0 has an integrating factor μ(x)\mu(x) depending on xx alone. Normalizing it so that μ(1)=1\mu(1) = 1, find μ(4)\mu(4).