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Make desolve deduce the variable if you don't state it #8616

@sagetrac-yuri-k

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@sagetrac-yuri-k

Provides autodetect dependent and independent variables in desolve(), desolve_laplace()

Additionally as module which helps to solve first problem provides unified interface for standard python types and sage specific types.
Treats everything as symbolic expression which allows to check its type, take
operator and operands and extract subexpressions by given types.

http://groups.google.com/group/sage-devel/browse_thread/thread/f2ba2198dc5b79ed

http://groups.google.com/group/sage-devel/browse_thread/thread/e04cbc547095f2ac

CC: @robert-marik @novoselt

Component: symbolics

Keywords: symbolic, type, subexpression

Author: Yuri Karadzhov

Issue created by migration from https://trac.sagemath.org/ticket/8616

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