I am solving a PDE problem. In a certain point, I achieve the following equality:
$G(3x+1) = y^2 + e^x$
This is,basically, a problem involving function composition. How do I find $G(x)$?
I have faced similar problems needing to find $G(x)$. However, this equality looks like an absurd. I can't see a way to solve this.
Maybe I made a previous mistake before arriving to this line. But I have double checked my previous operations.
You may write $$G(x)=y^2+e^{(x-1)/3}.$$