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)

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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

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

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the practice of taking someone else's work or ideas and passing them off as one's own.

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