10. Systems of Differential Equations

Linear Systems — Quiz

Test your understanding of linear systems with 5 practice questions.

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Practice Questions

Question 1

Which statement best describes a linear system of differential equations?

Question 2

Which of the following is the standard matrix form of a linear system of first-order differential equations?

Question 3

For the system $x' = 2x + y$ and $y' = -3x + 4y$, what is the coefficient matrix?

Question 4

Is the system $x' = x^2 + y$ and $y' = x - y$ linear?

Question 5

In a homogeneous linear system $\mathbf{x}' = A\mathbf{x}$, what is the forcing vector $\mathbf{g}(t)$?
Linear Systems Quiz — Differential Equations | A-Warded