The Maple System Commands dsolve, odeplot in Numerical Calculations

2 The Maple System Commands dsolve, odeplot in Numerical Calculations 

The command dsolve of the Maple system was previously discussed as a method of analytical solution of the direct problem in chemical kinetics. This command also can be used for a numerical solving of ODEs or their sets. In this case one should use the following syntax  

Here ode is the differential equation (or ODE set) with the initial conditions i c. The option nume r i c is a directive for numerical computations (one may use the construction type = numeric instead of the keyword numeric) vars is the desired function (or the desired function set in case of ODE set) options are additional options given in the keyword = value form. 

The option nume r ic (ortype = numeric) indicates that dsolve will return a numerical calculation result. The most important additional option is the method. It determines which numerical method will be used in the desired function search. The Maple system gives a choice among a variety of methods (see the list in Table 3.1). 

On default, during a solution of the Cauchy problem the dsolve function automatically utilizes the Runge-Kutta method of the fourth to fifth order of accuracy. The major options are given in Table 3.2. 

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