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|_y'''+12y" +36y'=0; y (0) = 0; y'(0) = 1;y" (0) = − 7

|_y'''+12y" +36y'=0; y (0) = 0; y'(0) = 1;y" (0) = − 7

Advanced Engineering Mathematics
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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A. 7 Ay=c₁+c₁₂e³+c₁₂e² Cze 3 B.y=c₁e¹+e¯¹(c -X 33 3 C. y = e D. F. y = E.y=c₁₂e 1 5 36 y= – 1 - 3 '+e-¹(c₂cost+c₂sint) (c¸cos- 1 5 36 - 4x ∙e - 6x 3 +c xe €₂xe 2 :- (-1) 2 5x + -x+c + - 4x 1 3 1 +₂sin- 6 3 xe - 6x √2 3 5 (t-1) -x)
Transcribed Image Text:A. 7 Ay=c₁+c₁₂e³+c₁₂e² Cze 3 B.y=c₁e¹+e¯¹(c -X 33 3 C. y = e D. F. y = E.y=c₁₂e 1 5 36 y= – 1 - 3 '+e-¹(c₂cost+c₂sint) (c¸cos- 1 5 36 - 4x ∙e - 6x 3 +c xe €₂xe 2 :- (-1) 2 5x + -x+c + - 4x 1 3 1 +₂sin- 6 3 xe - 6x √2 3 5 (t-1) -x)
y""+12y" +36y=0; y (0) = 0; y'(0) = 1;y" (0) = -7 ✓y"+y" - 2y=0 y" - 4y'-5y=0; y ( 1) = 0; y' (1)=2 1
Transcribed Image Text:y""+12y" +36y=0; y (0) = 0; y'(0) = 1;y" (0) = -7 ✓y"+y" - 2y=0 y" - 4y'-5y=0; y ( 1) = 0; y' (1)=2 1
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