# Differential Equations: Give Me a Solution, I'll Give You an Answer Quiz

Think you’ve got your head wrapped around Differential Equations? Put your knowledge to the test. Good luck — the Stickman is counting on you!
Q. Which of the following is not a differential equation?

y' = 0
x2 + xy = 6 – y2
f (2)(x) = f(x) – x2
Q. Determine the order of the differential equation f 4(x) + f (2)(x) = 5 - f (3)(x) + f (x)

1
2
3
4
Q. A solution to a differential equation is

a function that satisfies that differential equation.
a number that satisfies that differential equation.
a function that satisfies that differential equation and some additional constraint.
the highest derivative in that differential equation.
Q. The function

y = x2

is a solution to which one of the following differential equations?

2y = y'
y' = 2y"
y = xy'
2y = xy'
Q. Determine which of the following functions is NOT a solution to the d.e. f (2)(x) = -f (x).

f (x) = 0
f (x) = sin x
f (x) = -cos x
f (x) = -e - x
Q. Determine which of the following functions is a solution to the IVP y'' = y and y(0) = 1.

y = 0
y = 1
y = e-x
y = -e-x
Q. Determine which of the following is the particular solution to the IVP y" = 8.

y = 4x2 + Bx + C
y = 4x2 - 8x + 1
B = -8 and C = 1
y' = 8x - 8
Q. Determine which differential equation best represents the following English statement:

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

Q. 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?

Q. 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?