You need to use u(x, t) everywhere. SymPy considers u(x) and u(x, t) to be
completely different functions.

Unfortunately, pdsolve is currently not very powerful, and it is unable to
solve your PDE.

Aaron Meurer

On Wed, May 3, 2017 at 11:27 AM, <[email protected]> wrote:

> Hi,
> I have just started using sympy and tried to solve a PDE like this:
>
>
>
>
>
> My approach in sympy was:
>
> from sympy.solvers.pde import pdsolve
> from sympy import Function, diff, pprint, Eq, init_printing
> from sympy.abc import x,t,c
> init_printing()
> u = Function('u')
> w = Eq(diff(u(t),t,2) - (c**2*diff(u(x),x,2)),0)
> pdsolve(w, u(x,t),hint="all")
>
> Unfortunataly I've got some error-messages which I can't handle.
> Is there any help?
> Thanks a lot.
>
>
> The error messages were:
>
> ValueError                                Traceback (most recent call 
> last)<ipython-input-12-e0eef578ab5a> in <module>()----> 1 pdsolve(w, 
> u(x,t),hint="all")
> C:\WinPython\WinPython-32bit-3.5.2.1\python-3.5.2\lib\site-packages\sympy\solvers\pde.py
>  in pdsolve(eq, func, hint, dict, solvefun, **kwargs)    171     # See the 
> docstring of _desolve for more details.    172     hints = _desolve(eq, 
> func=func,--> 173         hint=hint, simplify=True, type='pde', **kwargs)    
> 174     eq = hints.pop('eq', False)    175     all_ = hints.pop('all', False)
> C:\WinPython\WinPython-32bit-3.5.2.1\python-3.5.2\lib\site-packages\sympy\solvers\deutils.py
>  in _desolve(eq, func, hint, ics, simplify, **kwargs)    224     if 
> hints['order'] == 0:    225         raise ValueError(--> 226             
> str(eq) + " is not a differential equation in " + str(func))    227     228   
>   if not hints['default']:
> ValueError: -c**2*Derivative(u(x), x, x) + Derivative(u(t), t, t) is not a 
> differential equation in u(x, t)
>
>
>
> −c2d2dx2u(x)+d2dt2u(t)=0
>
>
>
>
> M
>
>
>
>
>
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