5. Second-Order Linear Equations

Repeated And Complex Roots — Quiz

Test your understanding of repeated and complex roots with 5 practice questions.

Practice Questions

Question 1

What kind of roots does the characteristic equation of $y''-6y'+9y=0$ have?

Question 2

What is the general solution of $y''+4y=0$?

Question 3

For a repeated root $r=-1$, which general solution is correct?

Question 4

If the discriminant of a characteristic equation is negative, what kind of roots does it have?

Question 5

Find the particular solution of $y''+2y'+y=0$ satisfying $y(0)=1$ and $y'(0)=0$.