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Student[NumericalAnalysis][InitialValueProblemTutor] - numerically approximate the solution to a first order initial value problem
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Calling Sequence
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InitialValueProblemTutor(ODE, IC, t=b)
InitialValueProblemTutor(ODE)
InitialValueProblemTutor()
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Parameters
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ODE
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equation; first order ordinary differential equation of the form 
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IC
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equation; initial condition of the form y(a)=c, where a is the left endpoint of the initial-value problem
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t
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name; the independent variable
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b
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algebraic; the point for which to solve; the right endpoint of this initial-value problem
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Description
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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.
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If ODE is not specified, InitialValueProblemTutor uses a default ordinary differential equation.
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If IC is not specified, InitialValueProblemTutor uses a default initial condition.
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If the t = b argument is not specified, InitialValueProblemTutor uses a default endpoint.
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Any of the following methods can be used:
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Runge-Kutta Order Three
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Runge-Kutta Modified Euler
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Adams-Bashforth Two-Step
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Adams-Bashforth Three-Step
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Adams-Bashforth Four-Step
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Adams-Bashforth Five-Step
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Adams-Moulton Three-Step
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Adams-Moulton Four-Step
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Adams-Bashforth-Moulton Second-Order Predictor-Corrector
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Adams-Bashforth-Moulton Third-Order Predictor-Corrector
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Adams-Bashforth-Moulton Fourth-Order Predictor-Corrector
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Adams-Bashforth-Moulton Fifth-Order Predictor-Corrector
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