Solving second order implicit differential equation

3 Ansichten (letzte 30 Tage)
Stephon Henry-Rerrie
Stephon Henry-Rerrie am 18 Apr. 2019
Bearbeitet: David Wilson am 18 Apr. 2019
I have a differential equation that I would like to solve and it has the form: . How would people recommend I solve this numerically? Thanks!
  1 Kommentar
Torsten
Torsten am 18 Apr. 2019
Bearbeitet: Torsten am 18 Apr. 2019
Hopefully you don't have an initial condition at z=0 ?!
Otherwise, substitute
w(z) = y(ln(z))
first.
https://de.wikipedia.org/wiki/Eulersche_Differentialgleichung

Melden Sie sich an, um zu kommentieren.

Melden Sie sich an, um diese Frage zu beantworten.

Akzeptierte Antwort

David Wilson
David Wilson am 18 Apr. 2019
Bearbeitet: David Wilson am 18 Apr. 2019
Just convert the 2nd order ODE into Cauchy form. You will of course need 2 initial condtions.
Define x, now you original equation is re-written as
, so that means your system of 1st order ODEs is now
Of course we will need to know the form of f(z) to solve.

Weitere Antworten (0)

Kategorien

Mehr zu Ordinary Differential Equations finden Sie in Help Center und File Exchange

Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by