I don't think there is anything like that in SymPy. It looks like you are 
expecting to solve a Cauchy initial value problem for partial differential 
equations. By the Cauchy-Kowalevski theorem, 
<https://en.wikipedia.org/wiki/Cauchy%E2%80%93Kowalevski_theorem>that is 
possible for equations with analytic coefficients. For the algorithm, you 
should look into the proof of the theorem.

Kalevi Suominen

On Friday, July 27, 2018 at 7:13:02 PM UTC+3, foadsf wrote:
>
> I posted this question here on Reddit 
> <https://www.reddit.com/r/Python/comments/92cehq/using_sympy_for_solving_pdaes_as_taylor_series/>
>  
> and I was advised to repost here as well:
>
> Mathematica has this nice function of AsymptoticDSolveValue which can take 
> an ODE plus the initial conditions and then return a power series 
> approximation of the solution. I was wondering if there is anything like 
> that for solving Partial differential algebraic equation in Python-SymPy or 
> other Python symbolic libraries? If not how can we write such a functions? 
> If I get the algorithm I might be able to implement it myself.
>

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