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

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 33CR

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Question

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

- Please refer to the attachment

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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