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**Problem:** A model for transport of a solute (moles of salt) and solvent (volume of water) across a permeable membrane has the form $$\dot{W}=A(k-\frac{M}{W}),\dot{M}=B(k-\frac{M}{W})$$

where $k$ is a parameter representing the bulk solute concentration and $A$ and $B$ are [parameters that represent the permeability of the membrane.

(a) The water volume $W$ is a positive quantity. **Show that the system can be made linear by a reparametrization.** ??

(b) Determine the transformation between solutions of the linear and nonlinear systems.

What does it mean by transformation?

Thanks.

I have crossposted this question on: differential equations - What is this problem asking for? - Mathematics Stack Exchange