Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
determine the general solution to thegiven differential equation (D2 − 2D + 2)2(D2 − 1)y = 0.

determine the general solution to thegiven differential equation (D2 − 2D + 2)2(D2 − 1)y = 0.

icon
Related questions
Question

determine the general solution to thegiven differential equation

(D2 − 2D + 2)2(D2 − 1)y = 0.

Expert Solution
Step 1

Results:

D = ± 1
D = 1 - i
D = 1 + i
y = 0
 
Sum of roots: 0
 
Product of roots: 1
Step 2

Alternate forms:

((D - 2) D + 2)^2 (D^2 - 1) y = 0
(D - 1) (D + 1) (D^2 - 2 D + 2)^2 y = 0

Expanded form:

D^6 y - 4 D^5 y + 7 D^4 y - 4 D^3 y - 4 D^2 y + 8 D y - 4 y = 0
steps

Step by step

Solved in 3 steps with 14 images

Blurred answer