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(1 point) Find the solution to the following linear, homogeneous recurrence with constant coefficients: an -4an-2 for n > 2 with initial conditions ao =
(1 point) Find the solution to the following linear, homogeneous recurrence with constant coefficients: an -4an-2 for n > 2 with initial conditions ao = 0, ai 0. The solution is of the form: an = (a + i)(ir)" + (a i)(-ir)" for suitable real constants a, b,r. Find these constants and enter their values: r= a = BE = The solution can also be written in piecewise form and purely in terms of real numbers: Cir", Carn an for n mod 4 = 0 for n mod 4 = 1 for n mod 4 = 2 for n mod 4 3 C3r", car", = for suitable real constants C1, C2, C3, C4. Find these constants as well. = C1 C2 = C3 = C4 = (1 point) Find the solution to the following linear, homogeneous recurrence with constant coefficients: an -4an-2 for n > 2 with initial conditions ao = 0, ai 0. The solution is of the form: an = (a + i)(ir)" + (a i)(-ir)" for suitable real constants a, b,r. Find these constants and enter their values: r= a = BE = The solution can also be written in piecewise form and purely in terms of real numbers: Cir", Carn an for n mod 4 = 0 for n mod 4 = 1 for n mod 4 = 2 for n mod 4 3 C3r", car", = for suitable real constants C1, C2, C3, C4. Find these constants as well. = C1 C2 = C3 = C4 =
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