Given the third order homogeneous constant coefficient equation y^(''')+6y^('')+13y^(')+10y=0
the characteristic polynomial ar^(3)+br^(2)+cr+d is
.
The roots of auxiliary equation are
(enter answers as a comma separated list).
A fundamental set of solutions is
(enter answers as a comma separated list).
Given the initial conditions y(0)=-2,y^(')(0)=2 and y^('')(0)=-1 find the unique solution to the IVP y=