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Stels
9 days ago
11

Use the method of undetermined coefficients to solve the given nonhomogeneous system. dx dt = 2x + 3y − 5 dy dt = −x − 2y + 4 x(

t), y(t)

Mathematics
2 answers:
Svet_ta [12.3K]9 days ago
5 0

Answer:

The system of non-homogeneous linear equations is

dx/dt=2x+3y-5

dy/dt=-x-2y+4

Employing differential equations and the method of undetermined coefficients, the solution is

y(t,x)=-x^2+2*xt+x

AnnZ [11.9K]9 days ago
4 0
Try this approach (refer to the attachment, which outlines three steps).

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Zina [12018]
First note the ratio is
7:2 so divide 7 by 2 to get 7/2 = 3.5. Then add 3.5 to 2, yielding the result 5.5
5 0
24 days ago
Find the 99th term of the arithmetic sequence 2, -3, -8,...
tester [11942]

Answer:

The sequence decreases by 5

thus the subsequent numbers are

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7 0
12 days ago
The table represents the equation y = 2 – 4x. A 2-column table with 5 rows. The first column is labeled x with entries negative
tester [11942]

The missing value associated with x=-1 is y=6

Explanation:

The provided equation for the table is y=2-4x

This table consists of 2 columns and 5 rows.

<pconsequently it="" states="">

x       y

-2      10

-1       ---

0        2

1        -2

2       -6

To find the value for y when x=-1

The value of y can be ascertained by substituting x=-1 into the equation y=2-4x

<pthus we="" determine="">

y=2-4(-1)

<pmultiplying the="" term="" within="" brackets="" yields="">

y=2+4

<psumming the="" terms="" we="" find="">

y=6

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7 0
1 month ago
Read 2 more answers
What is 3.242424 as a mixed number
Zina [12018]

Response:

Detailed explanation:

The final result is 3 /8/33.

step by step breakdown

Initially, we write:

x

=

3

.

¯¯¯¯

24

After that, we will multiply each side by

100

leading to:

100

x

=

324

.

¯¯¯¯

24

Subsequently, we will subtract the first equation from the second equation:

100

x

−

x

=

324

.

¯¯¯¯

24

−

3

.

¯¯¯¯

24

We can then solve for

x

in the following manner:

100

x

−

1

x

=

(

324

+

0

.

¯¯¯¯

24

)

−

(

3

+

0

.

¯¯¯¯

24

)

(

100

−

1

)

x

=

324

+

0

.

¯¯¯¯

24

−

3

−

0

.

¯¯¯¯

24

99

x

=

(

324

−

3

)

+

(

0

.

¯¯¯¯

24

−

0

.

¯¯¯¯

24

)

99

x

=

321

+

0

99

x

=

321

99

x

99

=

321

99

99

x

99

=

3

×

107

3

×

33

x

=

3

×

107

3

×

33

x

=

107

33

Next, we convert this improper fraction to a mixed numeral:

x

=

107

33

=

99

+

8

33

=

99

33

+

8

33

=

3

+

8

33

=

3

8

33

3

.

¯¯¯¯

=

3

8

33

6 0
1 month ago
Read 2 more answers
There is an integer n such that 2n2 − 5n + 2 is prime. To prove the statement it suffices to find a value of n such that (n, 2n2
Leona [12162]

Response:

n = 0 or 3

Detailed explanation:

2n² - 5n + 2

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(n - 2)(2n - 1)

A prime number is defined as one that can only be divided by itself and 1

Setting n-2 = 1 gives n = 3

Setting 2n-1 = 1 gives n = 0

7 0
1 month ago
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