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ODE Stiff Systems

I am trying to solve an ODE numerically using NDSolve but get a message

" step size is effectively zero; singularity or stiff system suspected."

Can anyone please suggest an otion I can use along with 'Method' to attempt to overcome the problem?

I have tried Method -> "ExplicitRungeKutta" and it doesn't work.  What other options are available?

Thanks for any help.

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