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

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!*

**Differential Equations***y*' = 0

*x*

^{2}+

*xy*= 6 –

*y*

^{2}

*f*

^{(2)}(

*x*) =

*f*(

*x*) –

*x*

^{2}

*f*

^{4}(

*x*) +

*f*

^{(2)}(

*x*) = 5 -

*f*

^{(3)}(

*x*) +

*f*(

*x*)

*solution*to a differential equation is

*y* = *x*^{2}

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

*y*=

*y*'

*y*' = 2

*y*"

*y*=

*xy*'

*y*=

*xy*'

*f*

^{(2)}(

*x*) = -

*f*(

*x*).

*f*(

*x*) = 0

*f*(

*x*) = sin

*x*

*f*(

*x*) = -cos

*x*

*f*(

*x*) = -

*e*

^{ - x}

*y*'' =

*y*and

*y*(0) = 1.

*y*= 0

*y*= 1

*y*=

*e*

^{-x}

*y*= -

*e*

^{-x}

*y*" = 8.

*y*= 4

*x*

^{2}+

*B*

*x*+

*C*

*y*= 4

*x*

^{2}- 8

*x*+ 1

*B*= -8 and

*C*= 1

*y*' = 8

*x*- 8

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

*M*represents Julianna's money and

*t*represents time measured in years, which differential equation best describes this situation?