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Suppose that a fourth order differential equation has a solution y = -2e³x sin(x). Find such a differential equation, assuming it is homogeneous and has constant coefficients. help (equations) Find the general solution to this differential equation. In your answer, use c₁, C2, C3 and c₁ to denote arbitrary constants and the independent variable. Enter c₁ as "c1", c₂ as "c2", etc. Enter the solution as an equation y =?. help (equations)

Suppose that a fourth order differential equation has a solution y = -2e³x sin(x). Find such a differential equation, assuming it is homogeneous and has constant coefficients. help (equations) Find the general solution to this differential equation. In your answer, use c₁, C2, C3 and c₁ to denote arbitrary constants and the independent variable. Enter c₁ as "c1", c₂ as "c2", etc. Enter the solution as an equation y =?. help (equations)

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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Suppose that a fourth order differential equation has a solution y = -2e³x sin(x). Find such a differential equation, assuming it is homogeneous and has constant coefficients. help (equations) Find the general solution to this differential equation. In your answer, use c₁, C₂, C3 and c₁ to denote arbitrary constants and the independent variable. Enter c₁ as "c1", c₂ as "c2", etc. Enter the solution as an equation y =?. help (equations)
Transcribed Image Text:Suppose that a fourth order differential equation has a solution y = -2e³x sin(x). Find such a differential equation, assuming it is homogeneous and has constant coefficients. help (equations) Find the general solution to this differential equation. In your answer, use c₁, C₂, C3 and c₁ to denote arbitrary constants and the independent variable. Enter c₁ as "c1", c₂ as "c2", etc. Enter the solution as an equation y =?. help (equations)
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