We can solve this difference equation and output the general solution perhaps. Is there a way to solve recurrences in sympy? I searched and found there is a function called rsolve() but couldn't find it's documentation.
On Sun, Jun 30, 2013 at 2:30 PM, Thilina Rathnayake <[email protected]>wrote: > Looks like we will run into more and more trouble representing the > solutions. > > The latest is that when solving quadratic Diophantine equation, > A*x**2 + B*x*y + C*y**2 + D*x + E*y + F = 0, for the case B**2 - 4AC > 0, > when we know a basic solution, all the other solutions can be represented > as > a recurrence relation. > > Suppose, we find that X0 = 9 and Y0 = 4 is a solution to the given > equation, > we can find P, Q, K, R, S, L such that, Xn+1 = PXn + QYn + K and > Yn+1 = RXn + SYn + L where Xn+1 and Yn+1 will also be solutions to the > equation given that Xn and Yn are solutions. How do we represent this in > the > solution? Perhaps as a matrix? > > Regards, > Thilina > > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To post to this group, send email to [email protected]. > Visit this group at http://groups.google.com/group/sympy. > For more options, visit https://groups.google.com/groups/opt_out. > > > -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sympy. For more options, visit https://groups.google.com/groups/opt_out.
