# 10

(a)

> ode1 := diff( x(t), t ) = -2*x(t)+y(t) ;

> ode2 := diff( y(t), t ) = -2*y(t) ;

> MODEL := { ode1, ode2 } ; # define the differential equation model

> VAR := { x(t), y(t) } ; # identify the variables in the model in the form h(t), u(t)

>

> DOMAIN := t = 0 .. 5 ; # specify reasonable interval for indep var

> WINDOW := x = -2 .. 2,

> y = -2 .. 2 ; # specify reasonable intervals for all dependent vars

>

Direction Field

Phase Portrait