2) Solve the IVP: y' = |; + a) Find Fundamental Matrix -1-1 3±/9-4(1)(-2) 3±V17 = det[-,4 4= (-1– 1)(4 – 2) + 2 = x² – 32 – 2 = **40(-2) = (-1– 1)(4 – 1) + 2 = 2² – 32 –2 det(A – A1) 4 - 2(1) 3+V17 3-V17

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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need help with initial value problem ODE. I found eigenvalues I think, need know how proceed.

 

Thanks

 

 

-1
-1°
2) Solve the IVP: y' = E +C]; y0) = [H.
a) Find Fundamental Matrix
-1-1
-1
3+/9-4(1)(-2)
3士V17
det(A – A1) = det
2
4=(-1– 1)(4 – 1) + 2 = 2² – 32 - 2 =
4 2
2(1)
2
3+V17
3-V17
2.
Transcribed Image Text:-1 -1° 2) Solve the IVP: y' = E +C]; y0) = [H. a) Find Fundamental Matrix -1-1 -1 3+/9-4(1)(-2) 3士V17 det(A – A1) = det 2 4=(-1– 1)(4 – 1) + 2 = 2² – 32 - 2 = 4 2 2(1) 2 3+V17 3-V17 2.
Expert Solution
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By using eigenvalues and eigenvectors of coefficient matrix we solve the given problem as follows :

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