Consider the differential equation y" - 2y' + 17y = 0; ex cos(4x), eX sin(4x), (-∞, ∞). Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. The functions satisfy the differential equation and are linearly independent since W(e* cos(4x), eš sin(4x)) = # 0 for -o < x < ∞. Form the general solution. y =
Consider the differential equation y" - 2y' + 17y = 0; ex cos(4x), eX sin(4x), (-∞, ∞). Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. The functions satisfy the differential equation and are linearly independent since W(e* cos(4x), eš sin(4x)) = # 0 for -o < x < ∞. Form the general solution. y =
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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Question
![Consider the differential equation
y" – 2y' + 17y = 0;
ex cos(4x), eš sin(4x), (-∞, 0).
Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval.
The functions satisfy the differential equation and are linearly independent since W(ex cos(4x), eš sin(4x)) =
+ 0 for -00 < x < 00.
Form the general solution.
y =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc69edb92-08ea-4b49-88be-8d812bc0041d%2F7dcf3f4d-4ceb-4295-8071-8798e82d1194%2F6o9v9cw_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the differential equation
y" – 2y' + 17y = 0;
ex cos(4x), eš sin(4x), (-∞, 0).
Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval.
The functions satisfy the differential equation and are linearly independent since W(ex cos(4x), eš sin(4x)) =
+ 0 for -00 < x < 00.
Form the general solution.
y =
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