Determine the form of a particular solution for the given equation. Do not solve the equation y - 24y' + 144y = tell + ell
Determine the form of a particular solution for the given equation. Do not solve the equation y" - 24y' + 144y = tell + ell + 4 sin(12t) O yp (t) = t'(A2t' + Alt + Ao)e12 + Bcos(12t) + Csin(12t) O Up(t) = to(Ant2 + Alt + Ao)el2t + Bto cos(12t) + Ct' sin(12t) O yp(t) = (Ant2 + Alt + An)el2 + Bcos(12t) + Csin(12t) O Up (t) = t(At2 + Alt + Ap)ellt + Bcos(12t) + Csin(12t) O yp (t) = t(Ant' + Alt + Ao)el2 + Bt cos(12t) + Ct sin(12t)
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