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Solving 2 ODE's with One Unknown

Given that:

dMN/dt = P¬oert - pMN + m(MS - MN)

dMS/dt = m(MN - MS) - pMS¬
MN¬ (0) = MS (0) = 0
And using:
M¬N + MS = [Po/(r + p)](ert - e-pt)
Show that

MS(t) =

And show that

R = MN(t) / MS(t) =

Please see the attached file for the fully formatted problems.

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Solution Summary

ODE's are solved. The solution is detailed and well presented.

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