Question

Solve: (D2 - 6D+9) y=0​

Answer 1

Step-by-step explanation:

(D² - 6D + 9 )y = 0

(D² - 2×3×D + 3²) y = 0

(D - 3)² y = 0

Either y = 0

or

(D-3)² = 0 (considering y≠0)

so, D = 3, 3 (Two Roots)

Hope it helped.

Thanks!

Answer 2

The solution for the given differential equation is 3,3.

The given equation is,

(D² - 6D + 9)y = 0

⇒ (D² - 6D + 9) = 0

Factorizing the equation,

⇒ (D² - 3D - 3D + 9) = 0

⇒ (D - 3) (D - 3) = 0

⇒ D = 3, 3

• The differential equation describes the relationship between the variable that is constantly varying with respect to the change in another quantity, and the derivative represents a rate of change.

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