Solution of an exact equation M dx + N dy = 0 (When M_y = N_x, find F by integrating M w.r.t x, then adjust with y-only)

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When M_y = N_x, find F by integrating M w.r.t x, then adjust with y-only terms from N minus ∂/∂y of that partial integral — equivalently match ∂F/∂y = N.

What each symbol means

SymbolWhat it stands for
FPotential with dF = M dx + N dy.

When to use this

Exactness already verified.