(HW) Ex. 5 Solve the systems of ODE and the initial value problem (1) V₁ + y₂ = -2cost v₁-v₂ = 2sint V₁ = 4y₁+3y₂ + t V₂=-2y₁ - y2-2t V₁ = V₁ +4y₂ - +² +6+ (3) ₂=U₁+U₂-t²+t-1 y₁ (0)=2. y₂ (0)=-1 (2)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4.6 Nonhomogeneous Linear Systems of ODES
(HW) Ex. 5 Solve the systems of ODE and the initial value problem
V+u =-2cost
(1)
-V = 2sint
= 4y+3ytt
(2)
U2 =-2y1-2-2t
(3) y =V1+ 2-t +t-1
V1 (0)= 2. ya (0) =- 1
Transcribed Image Text:4.6 Nonhomogeneous Linear Systems of ODES (HW) Ex. 5 Solve the systems of ODE and the initial value problem V+u =-2cost (1) -V = 2sint = 4y+3ytt (2) U2 =-2y1-2-2t (3) y =V1+ 2-t +t-1 V1 (0)= 2. ya (0) =- 1
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