) 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
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter4: Graphs
Section4.1: Use The Rectangular Coordinate System
Problem 53E: Is the point (3,0) on the x-axis or y-axis? How do you know?
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Transcribed Image Text:(
) 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
Transcribed Image Text:) 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
Transcribed Image Text:(
) 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
Transcribed Image Text:') 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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