Let y′′′−9y′′+20y′=0. find all values of r such that y=erx satisfies the differential equation. if there is more than one correct answer, enter your answers as a comma separated list.

we are given

differential equation as

we are given

Firstly, we will find y' , y'' and y'''

those are first , second and third derivative

First derivative is

Second derivative is

Third derivative is

now, we can plug these values into differential equation

and we get

now, we can factor out common terms

we can move that term on right side

now, we can factor out

now, we can set them equal

so, we will get

...............Answer

mgxmgzmgzzzlgxhhhx. dlulhx