A coupled first$-$order system with initial conditions and a step input is given below:

$x+4xy+2x^2-2x=0$

$y+4xy-x^{2}y+y=u(t)$

$x(0)=0\mathrm{.}1$&$y(0)=-0\mathrm{.}2$

Use Simulink to find the solution for the system. The input data $(t$ and $u(t))$ can be found in InputVector$\_$Lab$1.$mat. Using a "From Workspace: block, import the time and input vector into Simulink. For the model configuration parameters, use "ode$5"$ with a time vector of length $10$ s and a fixed time step size of $0\mathrm{.}05$ s $.$ Use a $"$To Workspace" block to export the output from Simulink to the Matlab Workspace and plot the solution for the system using MATLAB on a single graph, i$.$e$.$ each output has a different color and is clearly labeled. Discuss the resulting output pertaining to the initial conditions and input.