Fibonacci-like Differential Equations with a Polynomial Non-Homogeneous Part*
نویسنده
چکیده
We investigate non-homogeneous linear differential equations of the form x′′(t) + x′(t) − x (t) = p (t) where p (t) is either a polynomial or a factorial polynomial in t. We express the solution of these differential equations in terms of the coefficients of p (t), in the initial conditions, and in the solution of the corresponding homogeneous differential equation y′′(t) + y′(t) − y (t) = 0 with y (0) = y′(0) = 1.
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