Use Wolfram Mathematica

Task $1$

Plot the theta,v$,$u$\_(2),$u$\_(4),$ and u$\_(5)$ trim curves for the nonlinear RCAM model $(9$ core equations$)$ in a straight &

level flight at sea level $1)$ with both engines working, $2)$ with the left engine turned off, $3)$ with the right engine

turned off. Combine all the curves for the same parameter in one plot: for example, the v plot must have $3$ curves

corresponding to the above $3$ cases. Consider the same speeds as in W$13\_$L$2.$

Hint $1.$ You might want to remove the v$=0$ item from the trim constraints for the engine failure

simulations.

Hint $2.$ Use the options PlotStyle and PlotLegends for the Plot function to distinguish and label the curves.

Task $2$

Compute and plot the eigenvalues of the state Jacobian only for the case when the left engine is turned

off, for the same speeds as in Task $1.$ Comment on the plot$($s$)$ and explain how the eigenvalues evolve and how

they influence the five fundamental flight modes.

Hint. Play around with the options$/$functions$/$numbers the course instructor uses to highlight different

modes in his eigenvalue plots. Understand how these options$/$functions$/$numbers work and adapt them for

your plots.