find solutions of First Order Linear Recurrence Equations
problem statement or RESol
Solves first order, linear recurrence equations.
A first order linear recurrence equation in y(k) is A⁡k⁢y⁡k+1+B⁡k⁢y⁡k=C⁡k where A(k), B(k), and C(k) are independent of y(k).
If A(k) is undefined for some k, then a set of equations may be returned, giving values of y(k) for specific k as well as the general formula.
See the help page for LREtools[REcreate] for the definition of the format of a problem.
prob ≔ REcreate⁡y⁡k+1−b⁢y⁡k=a,y⁡k,y⁡0=c−ab−1
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