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Odesolve vs. Rkadapt

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Curious minds want to know: I am solving a simple (linear) ode for a number of various parameters. When I use Odesolve, passing the various parameters, it runs relatively slowly compared with using Rkadapt passing the parameters via the initial conditions (since I have a  lot of cases to look at, using Rkadapt seems the better choice). Why is this? Is it typical?


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