Solve the following boundary value problem by using Fourier series: Syl(t) + y( (t) + y"(t) + y"(t) + y'(t) + y(t) = t, t€ (0, 1), \y(0) = y(1), y'(0) = y'(1), y"(0) = y"(1), y"(0) = y/"(1), y(4 (0) = y(ª (1). No need to compute explicitly the sum, just find the coefficients yk of the Fourier series =E Uke?2¬kt, t E (0, 1). i2xkt k€Z

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