Find the general solution to y(4) + 18y" +81y = 405 + cos6t 729 729 Oy=c₁cos 18t + c₂sin18t+t(c3cos 18t + casin18t) + 5 + -cos3t O y = c₁cos3t+c₂sin3t+t(c3cos3t+c4sin3t) + 5+ cos6t Oy = c₁cos3t+c₂sin3t+t² (c3cos3t+c4sin3t) + 5+ sin6t O y = c₁ cos18t + c₂sin18t + t(c3cos18t + C4sin18t) +5+cos6t Oy = c₁ cos3t+c₂sin3t+t(c3cos18t + casin18t) + 5 + 729sin6t 729 729

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