Match each differential equation to a function which is a solution

functions
a. y = 3x + x^2,
b. y = e^{-3 x},
c. y = \sin(x),
d. y = x^{\,\frac{1}{2}},
e. y = 5 \exp(5 x),

differential equations

1. y'' + 8 y' + 15 y = 0
2. y'' + y = 0
3. y' = 5 y
4. 2x^2y'' + 3xy' = y
best answer

Following are the calculation to the differential equation:

For point 1)

B

be the solution of this equation

For point 2)  

C

be the solution of above equation  

For point 3)

be the solution of equation 3

For point 4)

Let be the solution of equation  (4)

Learn more:

link

1. First equation is option B

2. Second equation is option C

3. Third equation is option E

4. Fourth equation no best option.

explanation:

Check the attachment for solution

glide reflection.

its mainly because the pattern will be infinite and will never end. it will look like a gilder or like a filpbook when set to motion.