) Suppose that a fourth order differential equation has a solution y = 3e2xx sin(x). (a) Find such a differential equation, assuming it is homogeneous and has constant coefficients. help (equations) (b) Find the general solution to this differential equation. In your answer, use C₁, C₂, C3 and C4 to denote arbitrary constants and x the independent variable. Enter c₁ as c1, c₂ as c2, etc. help

) Suppose that a fourth order differential equation has a solution y = 3e2xx sin(x). (a) Find such a differential equation, assuming it is homogeneous and has constant coefficients. help (equations) (b) Find the general solution to this differential equation. In your answer, use C₁, C₂, C3 and C4 to denote arbitrary constants and x the independent variable. Enter c₁ as c1, c₂ as c2, etc. help

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.4: Writing And Graphing Equations Of Lines

Problem 79E

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Question

100%

(
) Suppose that a fourth order differential equation has a solution
y = 3e²xx sin(x).
(a) Find such a differential equation, assuming it is homogeneous and has
constant coefficients.
help (equations)
(b) Find the general solution to this differential equation. In your answer, use
C₁, C₂, C3 and C4 to denote arbitrary constants and x the independent variable.
Enter c₁ as c1, c₂ as c2, etc.
(equations)
help

) Find the general solution to y"" + 10y" + 34y' = 0. In your answer,
use C₁, C₂ and c3 to denote arbitrary constants and x the independent variable.
help (equations)

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Please look into the a part for first question since the answer provided is not an implicit function according to the system. thanks
a. Find such a differential equation, assuming it is homogeneous and has constant coefficients.

') Find y as a function of x if
y" - 3y"-y' + 3y = 0,
y(0) = 5, y'(0) = 9, y"(0) = -27.
y(x)
=

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