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Differential EquationsSuperchallengeExact Equations & Substitutions

Exact Equations & Substitutions · Superchallenge problem

Let y(x)y(x) be the solution of y′=y2+xy−x2x2y' = \dfrac{y^2 + xy - x^2}{x^2} for x>0x > 0 with y(1)=0y(1) = 0. Find the area of the region between the graph of yy and the xx-axis for 0<x<10 < x < 1.