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GenaCL600 [577]
2 years ago
14

Which value for x makes the sentence true? 567 + x = 1,257 a. 700 b. 1,924 c. 690 d. 1,824

Mathematics
2 answers:
Shalnov [3]2 years ago
5 0
Given,

567 + x = 1257

=> x = 1257 - 567

=> x = 690

Option c is correct.
faust18 [17]2 years ago
4 0

Answer:

C. 690

Step-by-step explanation:

You would subtract 567 from 1257

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Solve these linear equations in the form y=yn+yp with yn=y(0)e^at.
WINSTONCH [101]

Answer:

a) y(t) = y_{0}e^{4t} + 2. It does not have a steady state

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a) y' -4y = -8

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y' - 4y = 0

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r - 4 = 0

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So:

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Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

y_{p}(t) = C

So

(y_{p})' -4(y_{p}) = -8

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4C = 8

C = 2

The solution in the form is

y(t) = y_{n}(t) + y_{p}(t)

y(t) = y_{0}e^{4t} + 2

b) y' +4y = 8

The first step is finding y_{n}(t). So:

y' + 4y = 0

We have to find the eigenvalues of this differential equation, which are the roots of this equation:

r + 4 =

r = -4

So:

y_{n}(t) = y_{0}e^{-4t}

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Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

y_{p}(t) = C

So

(y_{p})' +4(y_{p}) = 8

(C)' + 4C = 8

C is a constant, so (C)' = 0.

4C = 8

C = 2

The solution in the form is

y(t) = y_{n}(t) + y_{p}(t)

y(t) = y_{0}e^{-4t} + 2

6 0
3 years ago
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3 years ago
Read 2 more answers
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2 years ago
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