Find the general solution of the differential equation xt dx/dt = x² + 6t², where t>0. a. x(t) = ±t√3ln |Ct|,
where C is an arbitrary constant
b. x(t) = ±t√12ln(Ct),
where C is an arbitrary constant.
c. x(t) = t√12ln |Ct|, where C is an arbitrary constant. d. x(t) = ±t√6ln |Ct|, where C is an arbitrary constant.