In a modelling problem I set 2 new variables as $\hat C=C/C_e$ and $\tau=kt$ in this differential equation $$ \dfrac {d}{dt}(C(t))=\lambda C_e-\lambda C(t)-kC(t)$$ in order to get this equation $$\dfrac {d}{dt}(\hat C(\tau))=(k/\lambda)(1-\hat C(\tau)) - \hat C(\tau).$$ I can't understand the steps we take in order to get from one equation to the other.
2026-04-08 12:37:59.1775651879
can't understand the steps of this differentation with different variable
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