Obtain the general solution unless otherwise instructed A. LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 1. (9D* + 6D³ + D²)y = 0

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Obtain the general solution unless otherwise instructed
A. LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS
1. (9Dª + 6D³ + D²)y = 0
2. (4D* – 45D² – 70D – 24)y = 0
dx =0
d³x
3.
dt3
d²x
25
- 3
|
dt?
dt
4. (D³ – 4D² + 4D)y = 0
5. (2Dª – 3D³ – 2D²)y = 0
6. (D5 – 16D3)y = 0
7. (D² – 2D + 5)y = 0
8. (Dª + 5D² + 4)y = 0
9. (D² – 2D + 5)²y = 0
10. (D? – 2D – 3)y = 0 when x = 0, y = 0, y' = -4
%3D
Transcribed Image Text:Obtain the general solution unless otherwise instructed A. LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 1. (9Dª + 6D³ + D²)y = 0 2. (4D* – 45D² – 70D – 24)y = 0 dx =0 d³x 3. dt3 d²x 25 - 3 | dt? dt 4. (D³ – 4D² + 4D)y = 0 5. (2Dª – 3D³ – 2D²)y = 0 6. (D5 – 16D3)y = 0 7. (D² – 2D + 5)y = 0 8. (Dª + 5D² + 4)y = 0 9. (D² – 2D + 5)²y = 0 10. (D? – 2D – 3)y = 0 when x = 0, y = 0, y' = -4 %3D
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