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Hello there! Can you help me solve the problem? Find a fundamental set of solutions and general solution for y" + 4y' + 13y = 0.

Hello there! Can you help me solve the problem? Find a fundamental set of solutions and general solution for y" + 4y' + 13y = 0.

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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Hello there! Can you help me solve the problem?

Find a fundamental set of solutions and general solution for y" + 4y' + 13y = 0.

 

The characteristic equation, complex-valued functions y₁ = el valued solutions is (−2+3i)t and Y₂ / has roots that are complex conjugates: 1,2 form a fundamental set of solutions, a fundamental set of real- = e(-2-31)t . The general solution is y= While the
Transcribed Image Text:The characteristic equation, complex-valued functions y₁ = el valued solutions is (−2+3i)t and Y₂ / has roots that are complex conjugates: 1,2 form a fundamental set of solutions, a fundamental set of real- = e(-2-31)t . The general solution is y= While the
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