Using Matlab, Model #$3$: Atmospheric Model

Developed by Lorenz, the following trends were found to simulate the interaction of the atmospheric fluid motion $($x$)$ and the

temperature variation in two directions $($y$)$ and $($z$)$

$$

$=,$

$=,$

$=+$

$=10$ describes a scale for the fluid motion

$=28$ describes a scale for the temperature variation in the y direction

$=8/3$ describes a scale for the temperature variation in the z direction

$$ starting point is $1=0$ and $1=1=1=5$

$$ should start at $0,$ increase by $0\mathrm{.}01,$ and end at $20$

$$ should follow the Euler's Method: $$

$$ should follow the Euler's Method: $+1=+()\backslash$times $(+1)$

$$ should follow the Euler's Method: $+1=+(+)\backslash$times $(+1)$

The iterations $+1,+1,+1$ should be calculated in the same repeating block!

Create two figure with two subplots $($one row, two columns$)$

Figure $1$

$$ t versus x$,$ t versus y$,$ t versus z

$$ title: 'Atmospheric Model'

$$ x label: 'Time, t$\text{'}$

$$ y label: 'Data, $\{$x$,$ y$,$ z$\}\text{'}$

$$ legend: 'Fluid Motion, x$\text{'},$ 'Temperature, y$\text{'},$ 'Temperature, z$\text{'}$

Figure $2$

$$ y versus z versus x $(3$D plot$)$ plot$3($y$,$z$,$x$)$ I want x to show on the z$-$axis

$$ title: 'Atmospheric Model'

$$ x label: 'Temperature, y$\text{'}$

$$ y label: 'Temperature, z$\text{'}$