Euler for systems of ODEs: Euler's algorithm can be generalized for systems of ODEs. For example, for the pair of differential equations dx/dt=f(x,y) dy/dt=g(x,y) with initial conditions x(0)=x_0 and y(0)=y_0, Euler's algorithm with step size h becomes: y_(n 1)=x_n h*f(x_n,y_n) y_(n 1)=y_n h*f(x_n,y_n) Now consider the Epidemics problem from last week. Take a=0.6, r=0.003, S_0=200, I_0=20, and step size h=0.2. Compute two steps of Euler by hand. Compare your numbers with those from Phaser