Write all the calculations needed to find the solution, x(t), of the initial value problem x′=ax,x(0)=[12].
a) x(t)=[eᵃt 2eᵃt]
b) x(t)=[e²at eᵃt]
c) x(t)=[eᵃt e²at]
d) x(t)=[2eᵃt eᵃt]