r is resistance it 's a RC circuit.

I got this from arachnoid :

http://arachnoid.com/sage/differential1.html

But while trying to make it work I probably mess it ! sorry !

Nothing to do with r ...

I will remake it in a proper way jupyter notebook, sorry for the disturbance :)

Henri



Le 05/02/2017 à 10:32, Dima Pasechnik a écrit :


On Sunday, February 5, 2017 at 12:27:51 AM UTC, HG wrote:

    Hi,
    I can't find where are the mistakes ?
    It says it's about floating ... It representes two waves
      Any help ?
    Best
    Henri

    var("ct omega t")
    y = function("y")(t)
    de = y + r*ct*diff(y,t) == sin(omega * t)

what is the meaning of r in this line? Is it a constant?

Loading this in sage results in
TypeError: For implementing multiplication, provide the method '_mul_' for R Interpreter resp. ct

(that is it assumes that 'r' stands for R interface...)

    des = desolve(de,[y,t]);des
    des2 = (des.substitute(ct == 0.1)).full_simplify()
    df(r,ct,omega,t) = des2
    r = 1000
    c = 0.5e-6
    f = 440
    omega = 2*pi*f
    pa =
    plot(sin(omega*t),(t,0,.005),rgbcolor=('#800000'),axes_labels=['time','v'])

    pb = plot(df(r,c,omega,t),(t,0,.005),rgbcolor=('#008000'))
    lbl = text("$f = %.0f Hz \,r = %.0f \Omega \, c = %.1f {\mu}f$"
      % (f,r,c*1e6),(.0025,1.2),fontsize=12,rgbcolor='black')
    show(pa+pb+lbl,figsize=(4,3))

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