f^3(x)+f(x)=lnx,x>0
prove that f is constant at x=1
I actually do not understand the questions. What do you mean, f is a constant at x=1 ??
(My play)
f^3(1)+f(1)=ln1
f^3(1)+f(1)=0
f(1) [f^2(x)+1]
f(1)=0 or f^2(x)=-1
In the real number system the only solution is f(1)=0