Suppose that a fourth order differential equation has a solution y -7e¹r cos(x). (a) Find such a differential equation, assuming it is homogeneous and has constant coefficients. y-12y+56y-120y +100y=0 help (equations) (b) Find the general solution to this differential equation. In your answer, use C₁, C2, C3 and ca to denote arbitrary constants and the independent variable. Enter c, as c1, c₂ as c2, etc. y=e^(3x)(c1cosx+c2sinx)+e^(3x)(c3xcosx+c4xxsinx) help (equations)
Suppose that a fourth order differential equation has a solution y -7e¹r cos(x). (a) Find such a differential equation, assuming it is homogeneous and has constant coefficients. y-12y+56y-120y +100y=0 help (equations) (b) Find the general solution to this differential equation. In your answer, use C₁, C2, C3 and ca to denote arbitrary constants and the independent variable. Enter c, as c1, c₂ as c2, etc. y=e^(3x)(c1cosx+c2sinx)+e^(3x)(c3xcosx+c4xxsinx) help (equations)
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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Transcribed Image Text:-7e¹r cos(r).
(a) Find such a differential equation, assuming it is homogeneous and has constant coefficients.
y-12y+56y"-120y +100y=0
help (equations)
Suppose that a fourth order differential equation has a solution y
-
(b) Find the general solution to this differential equation. In your answer, use C₁, C2, C3 and c₁ to denote arbitrary constants
and at the independent variable. Enter c₁ as c1, c₂ as c2, etc.
y=e^(3x)(c1cosx+c2sinx)+e^(3x)(c3xcosx+c4xxsinx)
help (equations)
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