If I have a function of two variables, say $f=f(x,y)$, I know that its differential is computed as $$df=\frac{\partial f}{\partial x}dx + \frac{\partial f}{\partial y}dx$$ But is it possible to recover the original function from the differential? For instance if I have: $$\frac{\partial f}{\partial x}=-\frac{A}{2y}; \frac{\partial f}{\partial y}=\frac{Ax}{2y^2}$$ How may i proceed to compute the original function $f(x,y)$?
2026-03-28 01:47:33.1774662453
Recovering a function from its partial differential
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