An example of a simple model based on atmospheric fluid dynamics is the Lorenzequations developed by the American meteorologist Edward Lorenz,2.dx= -ox + oydt(28.6)dy= rx - y - xZdt(28.7)dz-bz + xy(28.8)dtLorenz developed these equations to relate the intensity of atmospheric fluid motion, x,to temperature variations y and z in the horizontal and vertical directions, respectively.As with the predator-prey model, we see that the nonlinearity is localized in simplemultiplicative terms (xz and xy).Use numerical methods to obtain solutions for these equations. Plot the results tovisualize how the dependent variables change temporally. In addition, plot the dependentvariables versus each other to see whether any interesting patterns emerge.

The order of a differential equation is defined as the maximum degree of derivative in the equation,…

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