The auxiliary roots of the auxiliary equation associated with a certain HLDE are m=±3, ±3i, + 3i. What is the general solution? y=(C,+C,)e**+(C,+Cx)cos 3x+ ±3x (Cs+Cx)sin3x A COS %3D В none of the given choices (C,+Cx)cos 3x + (C3+Cx) sin3x +C + y=(C,+C,)e÷*+(C,cos3r + C rsin3x) ±3x © y-(C,+C,)e* + (c,+c,)e±*

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 44E
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The auxiliary roots of the auxiliary equation associated with a certain HLDE are m=±3, ±3i, ± 3i. What is the general solution?
y=(C,+C,)e**+(C,+Cx)cos 3x +
±3x
(Cs+Cx)sin3x
A
COS
%3D
B
none of the given choices
© y=C,
(C,+C)cos 3x + (C3+Cx) sin3x
+C
+
y=(C,+C,)e÷*+(C,cos3r + C rsin3x)
±3x
D
© y-(C,+C,)e*+ (C,+c,)e*M
Transcribed Image Text:The auxiliary roots of the auxiliary equation associated with a certain HLDE are m=±3, ±3i, ± 3i. What is the general solution? y=(C,+C,)e**+(C,+Cx)cos 3x + ±3x (Cs+Cx)sin3x A COS %3D B none of the given choices © y=C, (C,+C)cos 3x + (C3+Cx) sin3x +C + y=(C,+C,)e÷*+(C,cos3r + C rsin3x) ±3x D © y-(C,+C,)e*+ (C,+c,)e*M
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