4. (D3 – 4D² + 4D)y = 0 5. (2D4 – 3D3 – 2D²)y = 0 - -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Obtain general solution. Pls solve NUMBERS 4-5

A. LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS
1. (9D4 + 6D3 + D²)y = 0
2. (4D4 – 45D² – 70D – 24)y = 0
-
-
d3x
3.
dt3
d?x
dx
- 3
dt2
dt
4. (D³ – 4D² + 4D)y = 0
5. (2D4 – 3D3 – 2D²)y = 0
6. (D5 – 16D³)y = 0
7. (D² – 2D + 5)y = 0
8. (D4 + 5D? + 4)y = 0
9. (D² – 2D + 5)²y = 0
10. (D2 – 2D – 3)y = 0 when x = 0, y = 0, y' = -4
Transcribed Image Text:A. LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 1. (9D4 + 6D3 + D²)y = 0 2. (4D4 – 45D² – 70D – 24)y = 0 - - d3x 3. dt3 d?x dx - 3 dt2 dt 4. (D³ – 4D² + 4D)y = 0 5. (2D4 – 3D3 – 2D²)y = 0 6. (D5 – 16D³)y = 0 7. (D² – 2D + 5)y = 0 8. (D4 + 5D? + 4)y = 0 9. (D² – 2D + 5)²y = 0 10. (D2 – 2D – 3)y = 0 when x = 0, y = 0, y' = -4
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