(Complex aj ’s) Find a general solution of each of the fol­lowing equations. NOTE: Normall...

(Complex aj ’s) Find a general solution of each of the fol­lowing equations. NOTE: Normally, the aj coefficients in (1) are real, but the results of this section hold even if they are not (except for Theorem 3.4.4, which explicitly requires that the coefficients be real). However, be aware that if the aj coefficients are not all real, then complex roots do not necessarily occur in complex conjugate pairs. For instance, λ2 + 2i λ + 1 = 0 has the roots

y″− 2iy′ + y = 0