λ1 = -2, λ2=5 V1 = (1, -2) V2 = (4, -1) Using the above eigenvalues and/or eigenvectors, find the general solution of the following system of linear differential equations, writing the solution as an equation for x and an equation for y: x = 6x+4y y = − 2 x − 3 y

λ1 = -2, λ2=5 V1 = (1, -2) V2 = (4, -1) Using the above eigenvalues and/or eigenvectors, find the general solution of the following system of linear differential equations, writing the solution as an equation for x and an equation for y: x = 6x+4y y = − 2 x − 3 y

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 12CR

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Question

λ₁= -2, λ₂=5

V₁ = (1, -2)

V₂ = (4, -1)

Using the above eigenvalues and/or eigenvectors, find the general solution of the following system of linear differential equations, writing the solution as an equation for x and an equation for y:

x = 6x+4y
y = − 2 x − 3 y

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