Find a general solution to the given Cauchy-Euler equation for t> 0. dz + 19t- + 81z =0 dt The general solution is z(t) =The Bessel equation of order one-half, ty" + ty'+ tz - - y=0, t> 0, has two linearly independent solutions, y, =t cos (t) and y, =t sin (t). Find a general solution to the nonhomogeneous equation below. Ry "+ty ' + ( 12 - 2 ) y = 1 7 12 , + 20 Find a general solution to the given Cauchy-Euler equation for t > 0. . . . +2 d'z dz -+ 19t- + 81z =0 di2 dt y(t) = The general solution is z(t) =