5. Second-Order Linear Equations

Homogeneous Equations — Quiz

Test your understanding of homogeneous equations with 5 practice questions.

Practice Questions

Question 1

Which differential equation is homogeneous?

Question 2

What is the standard form of a second-order linear homogeneous differential equation?

Question 3

For the homogeneous equation $y''-5y'+6y=0$, what is the characteristic equation?

Question 4

If $y_1$ and $y_2$ are solutions of a homogeneous linear second-order equation, what is also a solution?

Question 5

What does it mean when the right-hand side of a second-order linear equation is $0$?