# Solving a differential equation with asymptotic boundary condition

**URL:** <https://discourse.julialang.org/t/solving-a-differential-equation-with-asymptotic-boundary-condition/101688>\
**Category:** New to Julia\
**Tags:** question\
**Created:** [July 17, 2023, 8:40am UTC](https://discourse.julialang.org/t/solving-a-differential-equation-with-asymptotic-boundary-condition/101688 "2023-07-17T08:40:37Z")\
**Posts on this page:** 2\
**Page:** 1

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**Author:** ![Nek](https://avatars.discourse-cdn.com/v4/letter/n/47e85d/32.png) [@Nek](https://discourse.julialang.org/u/Nek)\
**Post date:** [July 17, 2023, 8:40am UTC](https://discourse.julialang.org/t/solving-a-differential-equation-with-asymptotic-boundary-condition/101688/1 "2023-07-17T08:40:37Z")

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I am currently working on a project to solve a differential equation.  
The differential equation is like:

\frac{d^2f}{dt^2} + F[f] \left( \frac{df}{dt} \right)^2 + G[f] \frac{df}{dt} + H[f] = 0, 

and with conditions f(0) = f\_0 and \lim\_{t\to\infty} f(t) = 0.

Can someone please guide me on achieving this asymptotic boundary condition using DifferentialEquations?

Any help or suggestions would be greatly appreciated!

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**Author:** ![ChrisRackauckas](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/chrisrackauckas/32/77_2.png) [@ChrisRackauckas](https://discourse.julialang.org/u/ChrisRackauckas)\
**Post date:** [July 17, 2023, 2:16pm UTC](https://discourse.julialang.org/t/solving-a-differential-equation-with-asymptotic-boundary-condition/101688/2 "2023-07-17T14:16:31Z")

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The easiest thing to do is do a coordinate transformation so that t=infinity occurs at a finite value.

Or you just use MethodOfLines.jl and then transform the ODESystem into a SteadyStateProblem.