Ordinary differential equations, sometimes abbreviated as ODEs, are equations comprised of a function containing an unknown and the derivatives of that function. Since the order of an ordinary differential equation is the order of the highest-order derivative of the function appearing in the equation a first-order ordinary differential equation is one that contains the first derivative of the function. They commonly have the form: dy/dx = f(x, y), where f(x, y) is a function of x and y, and dy/dx is the first derivative of that function with respect to x. A solution to a first-order ordinary differential equation is any function y that satisfies that differential equation. First-order ordinary differential equations have one linearly independent solution. They can describe the change in the size of a population, the motion of a falling body, the flow of current in...