Question: Non autonomous differential equations can be written as a system of coupled autonomous differential equations by writing a separate differential equation for the variable t.

Non autonomous differential equations can be written as a system of coupled autonomous differential equations by writing a separate differential equation for the variable t.
1. Write the differential equation dF/dt = F2 + kt (from Section 5.1, Exercise 1) as two equations for F and t.
2. Write the differential equation dm/dt = eαmm2 / (mt - λ) (from Section 5.1, Exercise 4) as two equations for m and t.

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