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Differential EquationsMediumExact Equations & Substitutions

Exact Equations & Substitutions · Medium problem

Use the substitution v=x+yv = x + y to solve y′=ex+y−1y' = e^{x + y} - 1 with y(0)=0y(0) = 0, and find y ⁣(12)y\!\left(\dfrac12\right).