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