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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

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
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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need help with initial value problem ODE. I found eigenvalues I think, need know how proceed.

 

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-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.
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By using eigenvalues and eigenvectors of coefficient matrix we solve the given problem as follows :

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