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Differential EquationsMediumExact Equations & Substitutions

Exact Equations & Substitutions · Medium problem

The equation (2xy+3) dx+(x2−1) dy=0(2xy + 3)\,dx + (x^2 - 1)\,dy = 0 is exact. Find the solution with y(0)=2y(0) = 2 and compute y ⁣(12)y\!\left(\dfrac12\right).