This is documentation for Mathematica 5, which was
based on an earlier version of the Wolfram Language.

 Further Examples: RSolve Here is the solution to a second-order ordinary recurrence equation. It uses C[1] and C[2] as the constants of summation by default. In[1]:= In[2]:= Out[2]= This solves the same equation, specifying that the summation constants are K[1] and K[2]. In[3]:= Out[3]= You can add constraints and boundary conditions for recurrence equations. In[4]:= Out[4]= This verifies the solution. In[5]:= Out[5]= Here is the solution for a Riccati-type equation. In[6]:= Out[6]= Here is an equation whose solution involves Bessel functions. In[7]:= Out[7]= This equation is solved using Abramov and Bronstein's algorithm. In[8]:= Out[8]= This system is also solved using Abramov and Bronstein's algorithm. In[9]:= Out[9]= This equation is solved using van Hoeij's algorithm. In[10]:= Out[10]= The solution of this equation involves Chebyshev functions. In[11]:= Out[11]= The Logistic equation is solved in terms of trigonometric functions. In[12]:= Out[12]= This nonlinear equation is solved by a transformation method. In[13]:= Out[13]= RSolve also solves q-difference equations. In[14]:= Out[14]= In[15]:=