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Show that the given function is a solution of the differential equation. d²y dx² Substituting +9y = 6 cos(3x), y = x sin(3x) + c sin(3x) and y into the original equation gives dx + 9(x sin(3x) + c sin(3x)) = 6 cos(3x). The solution

Show that the given function is a solution of the differential equation. d²y dx² Substituting +9y = 6 cos(3x), y = x sin(3x) + c sin(3x) and y into the original equation gives dx + 9(x sin(3x) + c sin(3x)) = 6 cos(3x). The solution

Advanced Engineering Mathematics
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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Show that the given function is a solution of the differential equation.

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Show that the given function is a solution of the differential equation. d²y dx² d²y dx² dy dx +9y = 6 cos(3x), y = x sin(3x) + c sin(3x) Substituting and checks. y into the original equation gives + 9(x sin(3x) + c sin(3x)) = 6 cos(3x). The solution
Transcribed Image Text:Show that the given function is a solution of the differential equation. d²y dx² d²y dx² dy dx +9y = 6 cos(3x), y = x sin(3x) + c sin(3x) Substituting and checks. y into the original equation gives + 9(x sin(3x) + c sin(3x)) = 6 cos(3x). The solution
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