ODE. Entertain
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Do you know anything about the ode?
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NO
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Try ode45.
Reasonable/accurate result?
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NO
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More information required.
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YES
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YES
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Is the ode stiff?
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End
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YES
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NO
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ode23t
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YES
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Is numerical damping a problem?
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Do you benefit from considering higher derivatives?
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NO
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YES
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NO
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Are the higher derivatives significantly different?
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ode45
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0de23
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NO
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YES
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ode23s or ode23tb
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ode15s
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Reasonable?
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YES
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Reasnalbe
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Stop
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You can attempt ode113 or apply alternative methods
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NO
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YES
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Alternative methods needed
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Stop
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ODE1231
