7. Differential Equations

Second-order Linear Equations — Quiz

Test your understanding of second-order linear equations with 5 practice questions.

Practice Questions

Question 1

Which equation is a second-order linear differential equation?

Question 2

What is the order of the differential equation $y''-4y'+y=e^x$?

Question 3

Which equation is homogeneous?

Question 4

In the standard form $a_2(x)y''+a_1(x)y'+a_0(x)y=g(x)$, what is $g(x)$ called?

Question 5

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