- #1
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I am seeking an EXACT solution of this sistem of ODE's, in which g(x) and f(x) are the unknown functions:
x(df/dx)+dg/dx=0
xf(df/dx)+g(df/dx)=0
with boundary conditions:
x--->infinite; f=1;
x--->0; f=g=0.
If somebody is such a wisdom mathematician, the solution of this problem might help me in solving another unknown sistem:
-2/3*x^(1/2)(df/dx)+dg/dx=0
-2/3x^(1/2)f(df/dx)+g(df/dx)=0
with boundary conditions: x--->0; f=g=0;
x---->infinite; f=0;
well, I'm trying to demostrate the exact Schlichting solution of a two-dimensional jet, but for the moment I'm not capable.
Thanks.
x(df/dx)+dg/dx=0
xf(df/dx)+g(df/dx)=0
with boundary conditions:
x--->infinite; f=1;
x--->0; f=g=0.
If somebody is such a wisdom mathematician, the solution of this problem might help me in solving another unknown sistem:
-2/3*x^(1/2)(df/dx)+dg/dx=0
-2/3x^(1/2)f(df/dx)+g(df/dx)=0
with boundary conditions: x--->0; f=g=0;
x---->infinite; f=0;
well, I'm trying to demostrate the exact Schlichting solution of a two-dimensional jet, but for the moment I'm not capable.
Thanks.