Help with an ODE
- To: mathgroup at smc.vnet.net
- Subject: [mg111205] Help with an ODE
- From: Sam Takoy <sam.takoy at yahoo.com>
- Date: Fri, 23 Jul 2010 07:13:53 -0400 (EDT)
I would GREATLY appreciate help symbolically solving the following ODE
system.
DSolve[y''[x] == (1 + y'[x]^2 + a y[x]^4)/y[x], y, x],
with y[0] = y[1] = 1
and "a" is a constant that satisfies
Integrate[R[x]^2, {x, 0, 1}] = 1/(10*a);
I can't quite pull it off with my current Mathematica skill level.
Many many thanks in advance!
PS: The solution is a smooth function that looks like a parabola.
Thanks again!
Sam