Second-order nonhomogeneous differential equations initial value problems — Krista King Math | Online math help

SOLVED: Find the solution to the following linear homogeneous recurrence with constant coefficients an = 250n for n > 2 with initial conditions a0 = 10, a1 = 40. The solution is of the form:an = (a i√8)(i√n) (a - i√8)(-i√n)for suitable real constants a, B, and r. Find these constants and enter their values:The solution can also be written in piecewise form and purely in terms of real numbers for n mod 4 = 0, for n mod 4 = 1, for n mod 4 = 2, and for n mod 4 = 3. Find suitable real co