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I am trying to get a numeric solution to a differential equation involving a function that is piecewise (actually defined using an if/else statement). I successfully generated a slopefield using the lambda function, but desolve_rk4 seemingly cannot cope with this syntax. It seems to me that a numeric solver should be able to handle a function defined this way, but perhaps I am just doing something wrong?

Code:

var('t') def f(t): if t<5: return 3 else: return 0 V=function('V',t) desolve_rk4(lambda t,V: ((f)-V)/(2.3*1.2),V, ics=(0,0),ivar=t)

I am trying to get a numeric solution to a differential equation involving a function that is piecewise (actually defined using an if/else statement). I successfully generated a slopefield using the lambda function, but desolve_rk4 seemingly cannot cope with this syntax. It seems to me that a numeric solver should be able to handle a function defined this way, but perhaps I am just doing something wrong?

Code:

var('t')
def f(t):
    if t<5:
        return 3
    else:
        return 0
V=function('V',t)
desolve_rk4(lambda t,V: ((f)-V)/(2.3*1.2),V, ics=(0,0),ivar=t)
ics=(0,0),ivar=t)