Exercise 4. (Complex Eigenvalues)Consider the system i = x – y, ÿ =x+y a) Write the system in matrix form and find the eigenvalues and eigenvectors (Note: they will be complex valued). b) Write down the general solution for the system of differential equations using only real valued functions. [Hint: use the equality ewt – cos(wt) + i sin(wt)]

Exercise 4. (Complex Eigenvalues)Consider the system i = x – y, ÿ =x+y a) Write the system in matrix form and find the eigenvalues and eigenvectors (Note: they will be complex valued). b) Write down the general solution for the system of differential equations using only real valued functions. [Hint: use the equality ewt – cos(wt) + i sin(wt)]

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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