Chapter 1 - First-Order Differential Equations - 1.3 The Geometry of First-Order Differential Equations - True-False Review - Page 32: b

False.

For a differential equation $\frac{dy}{dx}=f(x,y)$ to have an equilibrium solution, the function $f(x,y)$ must equal zero, or have a solution. Therefore, if the function $f(x,y)$ equals $x^2+4$, which has no real solution, there is no equilibrium solution.