Consider the initial value problem 70) - -6 1 -6 a. Find the eigenvalue A, an eigenvector õ, and a generalized eigenvector īg for the coefficient matrix of this linear system. d = -6 b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. e^(-6t) (t+1)e^(-6t) T(t) = c1 + c2 e^(-6t) c. Solve the original initial value problem. Y1 (t) = 2(t) = e^(-6t)

Consider the initial value problem 70) - -6 1 -6 a. Find the eigenvalue A, an eigenvector õ, and a generalized eigenvector īg for the coefficient matrix of this linear system. d = -6 b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. e^(-6t) (t+1)e^(-6t) T(t) = c1 + c2 e^(-6t) c. Solve the original initial value problem. Y1 (t) = 2(t) = e^(-6t)

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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