Example #2 -- Partially Decoupled System

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

> ode2 := diff( y(t), t ) = 4*x(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)

>

Direction Field and Phase Portrait ( DEplot )