From 11:00PM PDT on Friday, July 1 until 5:00AM PDT on Saturday, July 2, the Shmoop engineering elves will be making tweaks and improvements to the site. That means Shmoop will be unavailable for use during that time. Thanks for your patience!
We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.
Differential Equations

Differential Equations

Differential Equations: Give Me a Solution, I'll Give You an Answer True or False

1. Which of the following is not a differential equation? ->
2. Determine the order of the differential equation f 4(x) + f (2)(x) = 5 - f (3)(x) + f (x) -> 2
3. A solution to a differential equation is -> the highest derivative in that differential equation.
4. The function

y = x2

is a solution to which one of the following differential equations? -> 2y = y'

5. Determine which of the following functions is NOT a solution to the d.e. f (2)(x) = -f (x). -> f (x) = -e - x
6. Determine which of the following functions is a solution to the IVP y'' = y and y(0) = 1. -> y = e-x
7. Determine which of the following is the particular solution to the IVP y" = 8. -> y = 4x2 - 8x + 1
8. Determine which differential equation best represents the following English statement:

The monkey population is increasing at a rate of 1 percent. ->

9. Julianna spends 20 per week. If M represents Julianna's money and t represents time measured in years, which differential equation best describes this situation? ->
10. A family of rabbits has a birth rate of 25 percent. Every year 10 rabbits die. Which of the following differential equations best models this situation? ->