Hi All,
So I've encountered a monster of an initial value problem that I've been trying to solve with Dsolve in Mathematica, with not much success (Headbang).
Here is what the IVP looks like:
\(\displaystyle \frac{d}{du}((G^3 \frac{dG}{du})^\frac{1}{m+2})  \frac{d}{du}(uG) + (\frac{m+2}{m2})(\frac{1}{\alpha} \frac{5}{m+2})G\)
With the following extra information(initial conditions) :
\(\displaystyle G(0) = 1\)
and
\(\displaystyle (\frac{dG(0)}{du})^\frac{1}{m+2} = (\frac{m+2}{m2})(\frac{1}{\alpha}  \frac{5}{m+2})\) \(\displaystyle \int_{0}^{\lambda} G(u)~du\)
I've also attached my attempt to this post  AshProblem.pdf. Unfortunately, I wasn't able to upload a .nb file.
Any help/guidance would be greatly appreciated.
Thanks
So I've encountered a monster of an initial value problem that I've been trying to solve with Dsolve in Mathematica, with not much success (Headbang).
Here is what the IVP looks like:
\(\displaystyle \frac{d}{du}((G^3 \frac{dG}{du})^\frac{1}{m+2})  \frac{d}{du}(uG) + (\frac{m+2}{m2})(\frac{1}{\alpha} \frac{5}{m+2})G\)
With the following extra information(initial conditions) :
\(\displaystyle G(0) = 1\)
and
\(\displaystyle (\frac{dG(0)}{du})^\frac{1}{m+2} = (\frac{m+2}{m2})(\frac{1}{\alpha}  \frac{5}{m+2})\) \(\displaystyle \int_{0}^{\lambda} G(u)~du\)
I've also attached my attempt to this post  AshProblem.pdf. Unfortunately, I wasn't able to upload a .nb file.
Any help/guidance would be greatly appreciated.
Thanks
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