Question

Solve the Cauchy-Euler equation (t²y'' - 11ty' + 27y = 0) with initial conditions (y(1) = 11, y'(1) = -3).
a) (y(t) = t³ - 6t² + 11t)
b) (y(t) = e3t - 6e2t + 11et)
c) (y(t) = 11t³ - 6t² + 1)
d) (y(t) = e3t - 6t² + 11t)