The InitialValueProblemTutor command launches a tutor interface that computes, plots, and compares numerical approximations to y(b), the exact solution to the given initial-value problem, using various numerical techniques.

If InitialValueProblemTutor is called with no arguments, InitalValueProblemTutor(), it uses a default initial-value problem.

If IC is not specified, InitialValueProblemTutor uses a default initial condition.

If the t = b argument is not specified, InitialValueProblemTutor uses a default endpoint.

Any of the following methods can be used:

Euler

Taylor

Runge-Kutta Midpoint

Runge-Kutta Order Three

Runge-Kutta Order Four

Runge-Kutta-Fehlberg

Runge-Kutta Heun

Runge-Kutta Modified Euler

Adams-Bashforth Two-Step

Adams-Bashforth Three-Step

Adams-Bashforth Four-Step

Adams-Bashforth Five-Step

Adams-Moulton Two-Step

Adams-Moulton Three-Step

Adams-Moulton Four-Step

Adams-Bashforth-Moulton Second-Order Predictor-Corrector

Adams-Bashforth-Moulton Third-Order Predictor-Corrector

Adams-Bashforth-Moulton Fourth-Order Predictor-Corrector

Adams-Bashforth-Moulton Fifth-Order Predictor-Corrector

$\mathrm{with}\left(\mathrm{Student}\left[\mathrm{NumericalAnalysis}\right]\right)\:$

$\mathrm{InitialValueProblemTutor}\left(\right)$

$\mathrm{InitialValueProblemTutor}\left(\mathrm{diff}\left(y\left(t\right)\,t\right)=\cos \left(t\right)\,y\left(1\right)=4.23\,t=5\right)$

$\mathrm{InitialValueProblemTutor}\left(\mathrm{diff}\left(f\left(x\right)\,x\right)=f\left(x\right)-x^2\,f\left(0\right)=0.5\,x=3\right)$