An ordinary differential equation (ODE) is an equality involving a function containing an unknown and the derivative(s) of that function. The order of an ordinary differential equation is determined by the order of the highest-order derivative of the function appearing in the equality. A second-order ordinary differential equation contains the second derivative of the function f(x, y) and is usually written as: d²y/dx² + Bdy/dx = f(x, y), where d²y/dx² is the second derivative of the function f with respect to x, and dy/dx is the first derivative of the function f with respect to x. A solution to a second-order ordinary differential equation is any function y that satisfies that differential equation. Second-order ordinary differential equations have two linearly independent solutions and any linear combinations of those linearly independent solutions are also solutions. Second-order...