Match each differential equation to a function which is a solution.
functions
a. y=3x+x2y=3x+x2,
b. y=e−4xy=e−4x,
c. y=sin(x)y=sin⁡(x),
d. y=x12y=x12,
e. y=6e3xy=6e3x,

differential equations

1. y″+y=0y″+y=0
2. y′=3yy′=3y
3. 2x2y″+3xy′=y2x2y″+3xy′=y
4. y″+6y′+8y=0y″+6y′+8y=0

1 - C

2 - E

3 - no answer

4 - B

Step-by-step explanation:

A.

So, A is not an answer for 1

So, A is not an answer for 2

So, A is not an answer for 3

So, A is not an answer for 4

B.

So, B is not an answer for 1

So, B is not an answer for 2

So, B is not an answer for 3

So, B is an answer for 4

C.

So, C is an answer for 1

We jump to

D.

So, D is not an answer for 2

So, D is not an answer for 3

E.

So, E is an answer for 2

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

898.1666667

step-by-step explanation:

5389/6 = 898.1666667