x1' = 3x1+4x2 x2' = 3x1+2x2 x1(0) = 1 x2(0) = 1 Apply the eigenvalue method of this section to find a general solution of the given system. If initial values are given, find also the corresponding particular solution. For each problem, use a computer system or graphing calculator to construct a direction field and typical solution curves for the given system.

x1' = 3x1+4x2 x2' = 3x1+2x2 x1(0) = 1 x2(0) = 1 Apply the eigenvalue method of this section to find a general solution of the given system. If initial values are given, find also the corresponding particular solution. For each problem, use a computer system or graphing calculator to construct a direction field and typical solution curves for the given system.

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

See similar textbooks

Similar questions

Apply the eigenvalue method to find a general solution of the given system. Use a computer system or graphing calculator to construct a direction field and typical solution curves for the given system. x₁ = 7x₁ - 10x₂, x2 = 8x₁ - x₂
Apply the eigenvalue method of this section to find a general solution of the given system. If initial values are given, use graphing calculator to construct a typical solution curves for the given system. x = 9x1 + 5x2 х 3 — 6х1 — 2х2 X1 (0) = 1, x2(0) = 0
Apply the eigenvalue method to find a general solution of each system. х1 3 3х1 + 2х2+ 2хз, x = -5x1 – 4x2 – 2x3, х3 3 5х1 + 5х2+ 3x3
find the eigenvalues 3*3 matrix (-1 4 -2 -3 4 0 -3 1 3)
Find the general solution of the following inhomogeneous systems. Use either eigenvector decomposi- tion or undetermined coefficients method. These problems can be solved by hand, but you can also use technology to assist you at any stage. When using technology always report on what function you use. **BHRAIBHS] -2 5 5 -2 (a) = (b) + = 2 -1 **[G]HBKH[**] 3 -2 3e + -2t cos 3t
Explain the connection between straight-line solutions, eigenvectors, and the general solution.
Consider the linear system X1 = and Find the eigenvalues and eigenvectors for the coefficient matrix. A₂ = 0 JI ← A, V₁ 9 V2 = 81 = = -3 6 - - 4 x. help (numbers) help (matrices) help (numbers) help (matrices) For each eigenpair in the previous part, form a solution of a' = Ax. Use t as the independent variable in your answers.
x1 = x2 – 4x + 4x3 %3D 4 x½ = -3x2 - V3x, + V3x1 +X3 x3 = 7x2 - 2x1 Find the eigenvalues and eigenvectors by using the above equations.