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

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

21

step-by-step explanation: