This is Numerical Analysis

Question 3: Consider the following set of differential equations given below. For each following parts numerically solve x(t), y(t), z(t) simultaneously from t=0 to t=10 using At=0.2 as the step size starting from initial values x(0) = 1, y(O)=2, z(0)=3. dx dy dz = S*ly - x) -= x*(R - Z) - y x*y - Bz dt dt dt a) Given S=4, R=2, and B=1, numerically solve x(t), y(t), z(t) and plot all three in the same graph. b) Given S=2, R=4, and B=3, numerically solve x(t), y(t), z(t) and plot all three in the same graph. c) Given S=1, R=6, and B=1, numerically solve x(t), y(t), z(t) and plot all three in the same graph. d) Given S=1, R=8, and B=1, numerically solve x(t), y(t), z(t) and plot all three in the same graph. Question 3: Consider the following set of differential equations given below. For each following parts numerically solve x(t), y(t), z(t) simultaneously from t=0 to t=10 using At=0.2 as the step size starting from initial values x(0) = 1, y(O)=2, z(0)=3. dx dy dz = S*ly - x) -= x*(R - Z) - y x*y - Bz dt dt dt a) Given S=4, R=2, and B=1, numerically solve x(t), y(t), z(t) and plot all three in the same graph. b) Given S=2, R=4, and B=3, numerically solve x(t), y(t), z(t) and plot all three in the same graph. c) Given S=1, R=6, and B=1, numerically solve x(t), y(t), z(t) and plot all three in the same graph. d) Given S=1, R=8, and B=1, numerically solve x(t), y(t), z(t) and plot all three in the same graph