Show that the given function is a solution of the differential equation. dy dx dy dx || +9y = e-9x . y = xe -9x -9x + 8e dy Substituting and y into the original equation gives dx +9(xe -9x + 8e-9x) = e-⁹x. The solution checks.

Show that the given function is a solution of the differential equation. dy dx dy dx || +9y = e-9x . y = xe -9x -9x + 8e dy Substituting and y into the original equation gives dx +9(xe -9x + 8e-9x) = e-⁹x. The solution checks.

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.

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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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