Can someone explain part b of this question? Thank you... (b)For ($(t) = (ýdı yöu). let y^² = 4²" + c₂us→diy" (0) = (6) >>24(29+ (2)=(!) → { (100(₂=12 Sintl) + (os (t)sin(t)let y ¹¹ = π u ² + ₂ umSoyou = (=> ( ₂² + 4) = ( 9 )दे5 sült)yai = (Costt) - 2 sin (6),(t) =So you =(Theny (0) = (i){}2₁ = 12₂=-2.25m(t) + cos(1)Sin(t)-5 Sin(t)Cos(t)-25mm(t) Example.Consider(a) Find a(b)x² = (²-5) x-2fundamental matrix. //(t).| ye(o)= (y)Find the special fundamental matrix $(t)= exp(At).(That isQlo) = I ).

The columns of the fundamental matrix are the solution if the system X'=AX.

(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