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I've got two differential equations I need to non-dimensionalise

I've managed to do the \[ dc/dT=α- μc \] with the following working out:

By letting:

\[ N=N0n \]

\[ C=C0c \]

\[ t=t0T \]

However I'm struggling with the first equation.

I'm up to here, it's just the left hand side of the equation I'm struggling to work out. Any help would be great, cheers