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9.2. Ordinary Differential Equation Solvers

An equation which involves an independent variable and a dependent variable with its ordinary derivatives is called an Ordinary Differential Equation (ODE), for example,

9.1.

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 ...

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