Chapter 1 - First-Order Differential Equations - 1.9 Exact Differential Equations - True-False Review - Page 91: e

False

If we let $\phi$ be an potential function for an exact differential equation $M(x,y)dx+N(x,y)dy=0$ then so is $k\phi+c$ where $k$ and $c$ are constants. Potential functions, on the other hand, are only uniquely defined up to an additive constant. Hence, the statement is false.