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3 years ago

hi can someone please help me I think the answer is b, but I think I am wrong. will give brainliest

Mathematics

1 answer:

Leviafan [203]3 years ago

7 0

Answer:

Step-by-step explanation:

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Match each differential equation to a function which is a solution.

inessss [21]

Answer: 1 - C

2 - E

3 - no answer

4 - B

Step-by-step explanation:

A. $y = 3x+x^2$

$y' = 3 + 2x\\y'' = 2$

Replace in 1:

$y'' + y = 0$

$2 + 3x + x^2 \neq 0$

So, A is not an answer for 1

Replace in 2:

$y' = 3y$

$3+2x = 3(3x + x^2)$

So, A is not an answer for 2

Replace in 3

$2x^2y'' + 3xy'= y$

$2x^2(2) + 3x(3 + 2x) = 4x^2 + 9x + 6x^2 \neq 3x+x^2$

So, A is not an answer for 3

Replace in 4

$y'' + 6y' + 8y = 0$

$2 + 6(3+2x)+8(3x + x^2) = 2+18+12x+24x+8x^2 \neq 0$

So, A is not an answer for 4

B. $y = e^{-4x}$

$y' = -4e^{-4x}$

$y'' = 16e^{-4x}$

Replace in 1

$y'' + y = 0$

$16e^{-4x} -4e^{-4x} = 12e^{-4x} \neq 0$

So, B is not an answer for 1

Replace in 2

$y' = 3y$

$-4e^{-4x} \neq 3e^{-4x}$

So, B is not an answer for 2

Replace in 3

$2x^2y'' + 3xy' = y$

$2x^2(16e^{-4x}) +3x(-4e^{-4x}) \neq e^{-4x}$

So, B is not an answer for 3

Replace in 4

$y'' + 6y' +8y = 0$

$16e^{-4x} + 6(-4e^{-4x}) + 8e^{-4x} = e^{-4x}(16-24+8) = 0$

So, B is an answer for 4

C. $y = sin(x)$

$y' = cos(x)$

$y'' = -sin(x)$

Replace in 1

$y'' + y = 0$

$-sin(x) + sin(x) = 0$

So, C is an answer for 1

We jump to

D. $y = x^{12}$

$y' = 12x^{11}$

$y'' = 132 x^{10}$

Replace in 2

$y' = 3y$

$12x^{11} \neq 3x^{12}$

So, D is not an answer for 2

Replace in 3

$2x^2y'' + 3xy' = y$

$2x^2(132x^{10}) + 3x(12x^{11}) = 300x^{12} \neq x^{12}$

So, D is not an answer for 3

E. $y = 6e^{3x}$

$y' = 18e^{3x}$

$y'' = 54e^{3x}$

Replace in 2

$y' = 3y$

$18e^{3x} = 3(6e^{3x}) = 18e^{3x}$

So, E is an answer for 2

3 0

3 years ago

Conpare the following values using <, >, =<br>-5 to -12

love history [14]

Answer:

-5 > -12

Step-by-step explanation:

can i get Brainliest

7 0

3 years ago

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What is the solution to the equation 1.2m − 0.8 = −2.0m?

Luden [163]

M=0.25 so the answer is a

5 0

3 years ago

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Please help me with this!!!!!

KengaRu [80]

-1 is the first answer and for #2 is the 4th answer.

Please let me know if you need additional help in private messages
Thanks,

-GeVontae The BRAINLY Team.

4 0

3 years ago

Read 2 more answers

2x+9=3x+1 what does x equal

eimsori [14]

Answer:

8 =x

Step-by-step explanation:

2x+9=3x+1

Subtract 2x from each side

2x-2x+9=3x-2x+1

9 = x+1

Subtract 1 from each side

9-1 = x+1-1

8 =x

7 0

3 years ago

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hi can someone please help me I think the answer is b, but I think I am wrong. will give brainliest ​

hi can someone please help me I think the answer is b, but I think I am wrong. will give brainliest