Consider the initial value problem T0) = [. -6 j' -6 a. Find the eigenvalue A, an eigenvector v1, and a generalized eigenvector vz for the coefficient matrix of this linear system. b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. ý(t) = c1 + C2 c. Solve the original initial value problem. Y1 (t) = ½(t)

Consider the initial value problem T0) = [. -6 j' -6 a. Find the eigenvalue A, an eigenvector v1, and a generalized eigenvector vz for the coefficient matrix of this linear system. b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. ý(t) = c1 + C2 c. Solve the original initial value problem. Y1 (t) = ½(t)

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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