Given the parameters set in the template below, create a script that uses Euler's method to chart the height of water in the tank $(y$ in the diagram below$)$ of Pliney's fountain.

Use a time$-$step of $0\mathrm{.}01$ seconds and investigate from $t=0$ to $t=100$ seconds. Assume the tank is initially empty. Plot the resulting relationship.

Script $8$

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$\%$ Parameters and initial conditions

Q$\_$in $=50**{10}^{{?}^{{?}^{?}}}-6$;$\%$ Flow in $m^{{?}^{{?}^{?}}}\frac{3}{s}$

$Rt=0\mathrm{.}05$; $,\%$ Tank radius in $m$

y$\_$high$=0\mathrm{.}1$; $,\%$ high water mark in $m$

$r=0\mathrm{.}007$;$,\%$outlet radius in $m$

$C=0\mathrm{.}6$;$,\%$ dimensionless constant

$y_{-}$low $=0\mathrm{.}025$; $,\%$ low water mark in $m$

$g=9\mathrm{.}81$;$,\%$ gravitational constant in $\frac{m}{s^{{?}^{{?}^{?}}}}2$

$v=0$:$,\%$ initial water level in $m$