Given the third order homogeneous constant coefficient equation y′′′−8y′′+25y′−26y=0
a) the characteristic polynomial ar³ +br² +cr+d is r³-8r²+25r-26
b) The roots of auxiliary equation are comma separated list).
c) A fundamental set of solutions is answers as a comma separated list).
d) Given the initial conditions y(0) =1, y' =(0-1 and y"(0)=-17 find the unique solution to the IVP