Question

In this problem you will solve the non-homogeneous differential equation

g" +64y= sec² (8x)

on the interval-T/16

(1) Let C₁ and C₂ be arbitrary constants. The general solution of the related homogeneous differential equation y" + 64y = 0 is the function y(x) = C₁ y₁(x) + C₂ y2(x) = C₁

+C₂

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