Question: solution of ode with zero boundary condition

hi

consider the following ode

eq1:=diff(f(x),x$3)+f(x)*diff(f(x),x$2)+diff(f(x),x$1)^2;

subject to thease boundary condition

f(a)=0,D(f)(b)=0,D(D(f))(0)=0

where

b= infinity (in computational domain b=10 is acceptable )

the exact solution of ode is

f(x)=tanh(x/2)

but when i want to solve it with Dsolve, maple get the zero. how can i use this ode in maple

 

thanks

Please Wait...