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zimovet [89]
3 years ago
5

Find the value of y for the given value of x. y=2x−3;x=−4

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
8 0
Y=-11. 2×-4 is -8, and -8-3 is -11.
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(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13
jolli1 [7]

Answer:

y(x)=3e^{5x}-2xe^{5x}

Step-by-step explanation:

The given differential equation is y''-10y'+25y=0

The characteristics equation is given by

r^2-10r+25=0

Finding the values of r

r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5

We got a repeated roots. Hence, the solution of the differential equation is given by

y(x)=c_1e^{5x}+c_2xe^{5x}...(i)

On differentiating, we get

y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)

Apply the initial condition y (0)= 3 in equation (i)

3=c_1e^{0}+0\\\\c_1=3

Now, apply the initial condition y' (0)= 13 in equation (ii)

13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2

Therefore, the solution of the differential equation is

y(x)=3e^{5x}-2xe^{5x}

5 0
3 years ago
What is the median value of the data set shown on the line plot?
wlad13 [49]
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3 0
4 years ago
Use the scenario and elimination by multiplication to answer the question.
SVEN [57.7K]
Answer:
C
Explanation:
You could solve this in the elimination way that I have been done in here.

I use Jason as an example that he paid $11.84 for 5t ( tacos ) + 1q ( quesadilla )
Therefore we could do the elimination if the taco cost 3.45 x 5 = 17.25, would be over the cost.

-> Cross B answer

Then we take 1.57 x 5 = 7.85. 11.84 - 7.85 = 3.99, which it is not 3.39 => Cross D answer.

Therefore the cost of tacos need to be 1.69 because there have been a repetition in both A& C

1.69 x 5 = 8.45. $11.84 - 8.45 = $3.39 for quesadillas.

Which it proves for the answer is C

Hope I have helping you on this question
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I cant really see that- could you tell me what that is?

5 0
3 years ago
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Which of the following functions is graphed?
lora16 [44]

Answer:

c

Step-by-step explanation:

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