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Differential EquationsSuperchallengeExact Equations & Substitutions

Exact Equations & Substitutions · Superchallenge problem

Find an integrating factor for (x2+y2+2x) dx+2y dy=0(x^2 + y^2 + 2x)\,dx + 2y\,dy = 0, use it to solve with y(0)=1y(0) = 1 (taking y>0y > 0), and find y(−1)y(-1).