Find y as a function of x:
y'''-12y''+27y'=80e^x
y(0)=29
y'(0)=11
y''(0)=21
I found the roots to be r=0,3,9 and c1=224/9 c2=13/3 c3=-2/9
not sure what is wrong with the answer I'm entering.
1) find the solution t the non-homogenous DE
y''-16y=3e5x , y(0)=1 , y'(0)=2
2)find the solution to the DE using cauchy-euler method
x2y''+7xy'+9y=0 , y(1)=2 , y'(1)=3
3)find the solution to the DE using Laplace
y''+8y'+16y=0 , y(0)=-1 , y'(0)=8