Suoppose that f is a differentiable function satisfying the following differentialequation:(+) f" – 2 · f" –- f' + 2 · f = 0.1. Find a 3 x 3 matrix A € Mat3,3 (R) such that (f, f', f")' =: f is asolution to the systemf' = A· f.2. Diagonalize A and find the general solution to the following system ofdifferential equations: r' = A· x.Hint: If you find that your A is not diagonalizable, then you havemade a mistake somewhere.3. Use parts 1 and 2 to find the general solution for f.4. Suppose furthermore that f(0) = f'(0) = 1= f"(0) – 1. Find f.

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Answered: Suoppose that f is a differentiable…

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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