Find the characteristics equation and the corresponding roots for the following ODEs and identify its case?
a) y" + 6Y' + 9y=0
b) 10y" + 18y' +5.6y=0
c) 10y" + 50y' + 65y =0
Slove the intial value problem
a) problem 2a) with y(0)=2 and y'(0)=-5
b) problem 2b) with y(0)=1 and y'(0)=1.6
c) problem 2c) with y(0)=3 and y'(0)=-7