Solve the following system of two first order ODES over the interval from t = 0 to 0.2 using astep size of 0.1 with a classical Fourth-order Runge-Kutta method. The

initial conditions are y(0)= 2 and z(0) =4. \begin{array}{l} \frac{d y}{d t}=-2 y+5 e^{-t} \\ \frac{d z}{d t}=-\frac{y z^{2}}{2} \end{array} Show all the steps of your hand calculations. Box your results.

Fig: 1

Fig: 2

Fig: 3