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Question: the differential equation governing the flow rate out of a...

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The differential equation governing the flow rate out of a liquid in a particular container with an inlet and an outlet is given by 2. 20 +30225 H where H is the height of the liquid and Q is the flow rate out the hole. If the liquid height is at a steady value h, the flow rate out is qs. Determine a linearized differential equation for the perturbation in flow rate q(t) if the liquid height is perturbed by h(t) that is H(t)s hs + h(t). Note that from binomial expansion: (1 + ε) ~ (1 + ne) ifε « 1
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