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*To*: mathgroup at smc.vnet.net
*Subject*: [mg100302] problem
*From*: parmida shabestary <dj_poni at yahoo.com>
*Date*: Sun, 31 May 2009 06:36:28 -0400 (EDT)
Hi
I'm having trouble solving this set of equations:
y''[x] =-y[x]*((y[x])^2 + (z[x])^2)^0.5
z''[x] =-z[x]*((y[x])^2 + (z[x])^2)^0.5
I couldn't write a DSolve order for it but here is the numerical code I wrote:
NDSolve[{y''[x] == -y[x]*((y[x])^2 + (z[x])^2)^0.5,
z''[x] == -z[x]*((y[x])^2 + (z[x])^2)^0.5, y'[0] == 0.5, z[0] == 1,
y[0] == 1, z'[0] == 0.5}, {y, z}, {x, -100, 100}]
I can plot this answer but what I really need is the parametric solution(a set of equations for z and y depending on x).
Please help me find the answer.
thanx
parmida
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