The EulerTutor command launches a tutor interface that computes and plots the numerical approximation to y(b), the exact solution to the given initial-value problem, using Euler's method.

If EulerTutor is called with no arguments, EulerTutor(), it uses a default ordinary differential equation.

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

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

The EulerTutor returns either a plot or a value. For information on how to obtain other return values using the Euler command, see Euler.

The step-by-step calculations in the EulerTutor are only available from within the tutor interface.

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

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

$\mathrm{EulerTutor}\left(\mathrm{diff}\left(y\left(t\right)\,t\right)=y\left(t\right)+t\cos \left(t\right)\right)$

$\mathrm{EulerTutor}\left(\mathrm{diff}\left(y\left(t\right)\,t\right)=y\left(t\right)+t\cos \left(t\right)\,y\left(0\right)=0.5\right)$

$\mathrm{EulerTutor}\left(\mathrm{diff}\left(y\left(t\right)\,t\right)=y\left(t\right)+t\cos \left(t\right)\,y\left(0\right)=0.5\,t=3\right)$