The auxiliary roots of the auxiliary equation associated with a certain HLDE are m=±3, ±3i, ±3i. What is the general solution? A none of the given choices y=(C,+C,)e÷³*+ (C;+Cx)cos 3x + -(C;+Cx)sin3x В %3= 5 y=C,e*+C,e=3«, -(C;+Cx)cos 3x + (C3+C,x)sin3x + 6" O y-(C, +c,)e÷*+(C,cosâr + C rsin3x) ±3i
The auxiliary roots of the auxiliary equation associated with a certain HLDE are m=±3, ±3i, ±3i. What is the general solution? A none of the given choices y=(C,+C,)e÷³*+ (C;+Cx)cos 3x + -(C;+Cx)sin3x В %3= 5 y=C,e*+C,e=3«, -(C;+Cx)cos 3x + (C3+C,x)sin3x + 6" O y-(C, +c,)e÷*+(C,cosâr + C rsin3x) ±3i
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 79E
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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?
none of the given choices
® y=(C,+C,)e=*+ (C,+Cx)cos 3x + (
,±3x
(C,+C)sin3
-3x
+
g+Cx)cos 3r + (C,+Cx)sin3x
y=(C,+C,)e÷*.
±3x
+(C,cos3x +C ,xsin3x)
® y=(c,+C,)e±*+(C;+C.)e÷"
Transcribed Image Text:Solve each of the DE's
1. (D² +4)y = 2 sin² x ; y(0) = 0, y'(0) = -2
2. (D? +2D +2)y = e¯* sec x
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