Let (x) be a solution to the initial value problem: y" - 6y' +9y = 0; y(0) = 2, y'(0) = 3. Let (x) be a solution to the initial value problem: y" - y' - 6y=0; y(0) = 1, y'(0) = 3. p(x) (x)* ☐ e²(-x + 2) ☐ e² (4x - 2) -3x + 2 3x - 4 ☐ - 2x + 3 Find

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let (x) be a solution to the initial value problem: y" — 6y' + 9y = 0; y(0) = 2, y'(0) = 3.
Let (x) be a solution to the initial value problem: y" — y' — 6y = 0; y(0) = 1, y'(0) = 3.
o(x)
(x)*
Find
☐ e¹(-x+2)
e² (4x - 2)
-3x + 2
3x - 4
- 2x + 3
Let o(a) be a solution to the
initial value problem: y" + 2y' + 5y = 0; y(0) = 0, y'(0) = 4.
Let (x) be a solution to the
initial value problem: y" — 2y' + 2y = 0; y(0) = −1, y'(0) = −1.
Find
o(x)
(x).
e² (cos x − 1)
-
4e
cos x - 4
e²x sin x
2e sin 2x
-4e
-2x
sin x
Transcribed Image Text:Let (x) be a solution to the initial value problem: y" — 6y' + 9y = 0; y(0) = 2, y'(0) = 3. Let (x) be a solution to the initial value problem: y" — y' — 6y = 0; y(0) = 1, y'(0) = 3. o(x) (x)* Find ☐ e¹(-x+2) e² (4x - 2) -3x + 2 3x - 4 - 2x + 3 Let o(a) be a solution to the initial value problem: y" + 2y' + 5y = 0; y(0) = 0, y'(0) = 4. Let (x) be a solution to the initial value problem: y" — 2y' + 2y = 0; y(0) = −1, y'(0) = −1. Find o(x) (x). e² (cos x − 1) - 4e cos x - 4 e²x sin x 2e sin 2x -4e -2x sin x
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