please answer last 2 parts Solve the system of differential equationsSx' = 31x + 56y16x29y-x(0) = 7, y(0)- 4The lesser of the two eigenvalues is-1Its corresponding eigevector is (a, 4). What is a?a =-7The greater of the two eigenvalues is3Its corresponding eigevector is ( – 2, b). What is b?b =1The solution to the system isx(t) = -7et – 2e-3ty(t) =| 4et+ e3t

In a system of differential equation X'=AX, if eigen values of A are a, b and corresponding eigen…

Answered: Solve the system of differential…

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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Solve the system of differential equations x' = 31x + 56y ly' = – 16x – 29y - - x(0) = 7, y(0) = - 4 |