The derivation of the differential equation for p in the text requires combining two differential equations for

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The derivation of the differential equation for p in the text requires combining two differential equations for a and b. Often, one can find a differential equation for a new variable derived from a single equation. In the above cases, use the chain rule to derive a new differential equation.
Suppose db/dt = 4b + 2. Set z = 4b + 2 and find a differential equation for z. The end result should be simpler than the original equation.
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