7. A system of coupled ODEs, where x = x(t), are expressed in the matrix form 7 3 x = (10)x where x = (*) with initial values x (0) = (-3). i. ii. iii. iv. V. State the two 1st order ODES. Find the eigenvalues and eigenvectors analytically. Using Matlab, show that your solutions to ii are correct (include screenshot). Find the particular solutions to x(t) and y(t). What are the values of x(t) and y(t), to 3 s.f., when t=5?

7. A system of coupled ODEs, where x = x(t), are expressed in the matrix form 7 3 x = (10)x where x = (*) with initial values x (0) = (-3). i. ii. iii. iv. V. State the two 1st order ODES. Find the eigenvalues and eigenvectors analytically. Using Matlab, show that your solutions to ii are correct (include screenshot). Find the particular solutions to x(t) and y(t). What are the values of x(t) and y(t), to 3 s.f., when t=5?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 30E

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