Direction Field: Similar to slope fields, direction fields also represent the behavior of solutions to differential equations but focus on indicating the direction rather than the exact slope at each point.
dy/dx = f(x,y): This notation represents a general form of a first-order ordinary differential equation, where y is dependent on x and its derivative dy/dx is equal to some function f(x,y).
Differential Equation: A mathematical equation that relates an unknown function with its derivatives. It describes rates of change and helps model various phenomena in science and engineering.