6 How to solve a PDE in sympy?

PDE solving is still limited in sympy. Here is how to solve first order pde

Solve \( u_t(x,t)=u_x(x,t)\)

import sympy as sp 
x,t   = sp.symbols('x t') 
u     = sp.Function('u') 
pde   = sp.Eq( sp.diff(u(x,t),t) , sp.diff(u(x,t),x)) 
sol   = sp.pdsolve(pde) 
sp.latex(sol)
 

\[ u{\left (x,t \right )} = F{\left (t + x \right )} \]