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Problem 22

Oscillations and Nonlinear Equations. For the ini…

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Problem 21

Fluid Ejection. In the design of a sewage treatment plant, the following equation arises:
$$\begin{array}{l}{60-H=(77.7) H^{\prime \prime}+(19.42)\left(H^{\prime}\right)^{2}} \\ {H(0)=H^{\prime}(0)=0}\end{array}$$
where $H$ is the level of the fluid in an ejection chamber and $t$ is the time in seconds. Use the vectorized Runge-Kutta algorithm with $h=0.5$ to approximate $H(t)$ over the interval $[0,5]$ .

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