An equation which involves an independent variable and a dependent variable with its ordinary derivatives is called an Ordinary Differential Equation (ODE), for example,
is an ODE, where t is the independent variable and y is the dependent variable.
The closed form solution of this equation means finding an explicit expression for y in terms of t. However, its numerical solution means finding the value of y at different instants of time, t. Generally many functions can satisfy a given ODE. Hence, additional information is required to obtain a specific desired solution. This additional information ...