> restart; # Call Maple DEtools Package: > with(DEtools): ------------------------------ # Define System of 2ODEs: > ODE2:=[diff(x(t),t)= 0.25*x*(1-x/1.4)-1.5*x*y/(1+0.16*x),\ diff(y(t),t)=0.9*1.5*x*y/(1+0.16*x)-0.8*y]: ------------------------------ # DEplot Format: ------------------------------ # DEplot([rhs of eqns],[vars],{[i.c]},stepsize=h, # method=`Euler` or default is RK4) # Remark: Press Enter to Generate the DEplot Plots below: ------------------------------ # DEplot resulting in 3D plot in txy-space by default RK4 method: > DEplot(ODE2,[t,x,y],t=0..50,{[0,1,2]},stepsize=0.1,\ title=`DEplot with default RK4`); ------------------------------ ------------------------------ # DEplot by Euler method: > DEplot(ODE2,[t,x,y],t=0..50,{[0,1,2]}, stepsize=0.1,\ method=`Euler`,title=`DEplot with Euler`); ------------------------------ # DEplot by Modified or Improved Euler method: > DEplot(ODE2,[t,x,y],t=0..50,{[0,1,2]},stepsize=0.1,\ method=`impeuler`,title=`DEplot with Modified Euler`); ------------------------------