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(b) For ($(t) = (ýdı yöu). let y^² = 4²" + c₂us →di y" (0) = (6) >> So you = ( 2 Sintl) + (os (t) sin(t) let y ¹¹ = π u ² + ₂ um (29 + 4) = (6) => ( ₂² + 4) = ( 9 ) दे 5 sült) yai = (Costt) - 2 sin (6), (t) = So you =( Then y (0) = (i) {} 25m(t) + cos(1) Sin(t) → -5 Sin(t) 2₁ = 1 2₂=-2. Cos(t)-25mm(t) C₁=0 { " 6₂=1

(b) For ($(t) = (ýdı yöu). let y^² = 4²" + c₂us →di y" (0) = (6) >> So you = ( 2 Sintl) + (os (t) sin(t) let y ¹¹ = π u ² + ₂ um (29 + 4) = (6) => ( ₂² + 4) = ( 9 ) दे 5 sült) yai = (Costt) - 2 sin (6), (t) = So you =( Then y (0) = (i) {} 25m(t) + cos(1) Sin(t) → -5 Sin(t) 2₁ = 1 2₂=-2. Cos(t)-25mm(t) C₁=0 { " 6₂=1

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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Can someone explain part b of this question? Thank you... 

(b) For ($(t) = (ýdı yöu). let y^² = 4²" + c₂us →di y" (0) = (6) >> 24 (29+ (2)=(!) → { (100 (₂=1 2 Sintl) + (os (t) sin(t) let y ¹¹ = π u ² + ₂ um So you = ( => ( ₂² + 4) = ( 9 ) दे 5 sült) yai = (Costt) - 2 sin (6), (t) = So you =( Then y (0) = (i) {} 2₁ = 1 2₂=-2. 25m(t) + cos(1) Sin(t) -5 Sin(t) Cos(t)-25mm(t)
Transcribed Image Text:(b) For ($(t) = (ýdı yöu). let y^² = 4²" + c₂us →di y" (0) = (6) >> 24 (29+ (2)=(!) → { (100 (₂=1 2 Sintl) + (os (t) sin(t) let y ¹¹ = π u ² + ₂ um So you = ( => ( ₂² + 4) = ( 9 ) दे 5 sült) yai = (Costt) - 2 sin (6), (t) = So you =( Then y (0) = (i) {} 2₁ = 1 2₂=-2. 25m(t) + cos(1) Sin(t) -5 Sin(t) Cos(t)-25mm(t)
Example. Consider (a) Find a (b) x² = (²-5) x -2 fundamental matrix. //(t). | ye(o)= (y) Find the special fundamental matrix $(t)= exp(At). (That is Qlo) = I ).
Transcribed Image Text:Example. Consider (a) Find a (b) x² = (²-5) x -2 fundamental matrix. //(t). | ye(o)= (y) Find the special fundamental matrix $(t)= exp(At). (That is Qlo) = I ).
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