Please answer the following question Let y(double prime)-4y(prime) = 0 a) Try a
ID: 3404584 • Letter: P
Question
Please answer the following question
Let y(double prime)-4y(prime) = 0
a) Try a solution of the form y = e^(rx), for ome unknow contant r, by substitutting it into the differential equation.
____________________= 0
b) Simplify and factor your equation in the previous part as much as possible. Be sure to divide out any terms guaranteed to be nonzero.
___________________=0
c) Find all values of r such that y = e^(rx) satisfied the differential equation. IF there is more than once correct answer, enter your answer as a comma seperated list.
______________________=0
Explanation / Answer
y'' - 4y' = 0
The auxialary equation is ,
r2 - 4r = 0
r(r - 4) =0
r = 0 , r-4 = 0
r = 0 , r = 4
If the roots are real then the solution is ,
y = c1erx + c2erx
y = c1e0.x + c2e4x
y = c1 + c2e4x