5. Second-Order Linear Equations

Characteristic Equations — Quiz

Test your understanding of characteristic equations with 5 practice questions.

Practice Questions

Question 1

What is the characteristic equation of $y'' - 5y' + 6y = 0$?

Question 2

What are the roots of the characteristic equation of $y'' + 4y = 0$?

Question 3

If the characteristic equation has a repeated root $r=3$, what is the general solution of the differential equation?

Question 4

Which differential equation has characteristic equation $r^2 + 2r - 8 = 0$?

Question 5

What are the roots of the characteristic equation $r^2 - 2r - 3 = 0$?