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Student[NumericalAnalysis][EulerTutor] - numerically approximate the solution to a first order initial value problem using Euler's method
Calling Sequence
EulerTutor(ODE, IC, t=b)
Parameters
ODE
-
equation; first order ordinary differential equation of the form
IC
equation; initial condition of the form y(a)=c, where a is the left endpoint of the initial-value problem
t
name; the independent variable
b
algebraic; the point for which to solve; the right endpoint of this initial-value problem
Description
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 ODE is not specified, EulerTutor 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.
Examples
See Also
Student[NumericalAnalysis], Student[NumericalAnalysis][Euler], Student[NumericalAnalysis][InitialValueProblem], Student[NumericalAnalysis][InitialValueProblemTutor], Student[NumericalAnalysis][InteractiveOverview]
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