8. Topic 8(COLON) Differential Equations

Lesson 8.3: Second-order Linear Equations: Homogeneous — Quiz

Test your understanding of lesson 8.3: second-order linear equations: homogeneous with 5 practice questions.

Practice Questions

Question 1

What is the general form of the auxiliary equation for a second-order linear homogeneous differential equation?

Question 2

If a second-order linear homogeneous differential equation has a characteristic equation with distinct real roots, how many linearly independent solutions does it have?

Question 3

For the characteristic equation $r^2 - 4r + 4 = 0$, what type of roots does it have?

Question 4

What is the complementary function for a second-order linear homogeneous differential equation with complex roots $r = 2 \pm 3i$?

Question 5

The differential equation $y'' + 5y' + 6y = 0$ corresponds to which auxiliary equation?