Given an electric field, how to find its field lines?

1. Feb 7, 2012

AlonsoMcLaren

Given the mathematical expression of an electric field, how to find its field lines?

2. Feb 7, 2012

clem

As a simple case, take $$E_x=f(x,y),\quad E_y=g(x,y)$$.
Then solve the differential equation $$dy/dx=g/f$$ for y(x).