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    I have a series of ODEs, which were non-dimensionalised using various scalings.

    One scaling in particular, was for time, where \hat{t} is the dimensionless variable:

     \hat{t} = t\alpha_L\rho_0

    where  t is in seconds,  \alpha_L = 0.666 x 10^-16 ml/molecules and  \rho_0 = 3.26x10^13 molecules/ml.

    I have produced a graph of the non-dimensionalised equations,  \hat{t} against \hat{y} and would like to investigate what happens after a period of 5 hours, so would I be right in saying  \hat{t} = 18000 * 0.666 x 10^{-16} * 3.26x10^{13} = 39.08088 would correspond to 5 hours on my graph? Also can I know read off the current y value on my graph, or does y need to be dimensionalised as well?

    Thanks in advance!
 
 
 
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