Solving second order implicit differential equation

12 ビュー (過去 30 日間)

Stephon Henry-Rerrie 2019 年 4 月 18 日

編集済み: David Wilson 2019 年 4 月 18 日

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!

Torsten 2019 年 4 月 18 日

編集済み: Torsten 2019 年 4 月 18 日

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

David Wilson 2019 年 4 月 18 日

編集済み: David Wilson 2019 年 4 月 18 日

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.

Help Center および File Exchange で Ordinary Differential Equations についてさらに検索

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

Translated by