Consider and . Divide both sides of each of the differential equations by and define a new ("dimensionless") time vari

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Consider and .Divide both sides of each of the differential equationsby anddefine a new ("dimensionless") time variable s as s= .
(a) Explain why s is dimensionless, that is, why itcarries no units.
(b) Write your equations in terms of thederivatives dA/ds and dB/ds.
(c) Divide every term in the equation by the total amount M anddefine the new quantities a = A/M, b = B/M. Explain why thesevariables are "dimensionless".
(d) Simplify the equations by making the substitutionssuggested in (c).You should get (for example)
Determine what is the parameter α in terms of theoriginal parameters in the problem. Interpret what this newparameter represents.