sympy/sympy — pull request #2109 by Manoj-Kumar-S (2013-05-15 12:11:55+00:00)
Title: Solving first order linear general PDE's with constant coefficients

This continues my work of the previous PR. Now these type pf PDE's can also be solved.

>>> from sympy.solvers.pde import pdsolve
>>> from sympy import Function, diff, pprint, exp
>>> from sympy.abc import x,y
>>> f = Function('f')
>>> eq = -2*f(x,y).diff(x) + 4*f(x,y).diff(y) + 5*f(x,y) - exp(x + 3*y)
>>> pdsolve(eq)
f(x, y) == F(4*x + 2*y)*exp(x/2 - y) + exp(x + 3*y)/15