giải các phương trình vi phân sau
y' - y/x+1 = 2

Answers

Answer 1

It looks like the differential equation is

[tex]y'-\dfrac y{x+1}=2[/tex]

Multiply both sides by 1/(x + 1) :

[tex]\dfrac{y'}{x+1}-\dfrac y{(x+1)^2} = \dfrac2{x+1}[/tex]

The left side is now a derivative of a product,

[tex]\left(\dfrac y{x+1}\right)' = \dfrac2{x+1}[/tex]

Integrate both sides with respect to x :

[tex]\dfrac y{x+1} = 2\ln|x+1|+C[/tex]

Solve for y :

[tex]y = 2(x+1)\ln|x+1| + C(x+1)[/tex]


Related Questions

Answers will be auto-submitted when time expires.
1. Answer the question below. (1 point)
Which function is quadratic?
A
X
O
1
2
6
3
0
у
18
12
0
B
х
-3
-1
-2
1
-1
3
5
y
C
८x
-2
4
0
0
2
4
4
16
D
X
1
5
2
7
3
9
4
11
y
Ο Α

Answers

Answer:

Try taking a screen shot as this is indecipherable.

Step-by-step explanation:

find the smallest n so that all all of the numbers are natural, 27+n, n/3 , square root of (n+16)​

Answers

Answer:

9

Step-by-step explanation:

We know it has to be a multiply of 3

27 + 3 = 30 nat number

3/3 = 1 nat number

sq root 19 not nat number

27 + 9 = 36 nat number

9/3 = 3 nat number

sq root 25 = 5 nat number

correct!

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

please help and show work pls!!!

Answers

9514 1404 393

Answer:

  a) see attached

  b) Each successive figure has one more tile at the end of each leg.

  c) 201, the number of tiles is 2n+1 for figure n.

Step-by-step explanation:

a) The attachment shows the next two figures

__

b) The pattern adds one more tile at the end of each leg than the previous figure had. This rule matches the figures shown.

__

c) The rule found in part B means that Figure N will have 2N+1 tiles, the N tiles in each leg plus the one where the legs meet.

Figure 100 will have 2(100) +1 = 201 tiles

James is putting a fence around his square yard. The area of his yard is 100 square feet. How much fencing does James need in total to go around all
four sides of his yard?
O 10 ft
O 20 ft
O 40 ft
O 80 ft

Answers

Answer:

40 ft.

Step-by-step explanation:

Because James's yard is a square, we can take the square root of the area to find the side length. The square root of 100 is 10, so we know that one side of his yard will require 10 feet of fencing. Since the yard has 4 sides, we simply need to do 4 * 10 = 40 ft of fencing.

Hope this helps!

When d the product of 6 and 6 is divided by the sum of 6 and 6 what is the quotient? Explain.

Answers

Hope it helps! If it is, Brainliest please!

Bernadette is a goalie and blocks the goal 20 out of 32 times. What is the experimental probability that Bernadette will block the goal on the next kick? Write your answer as a fraction, decimal, and percent.

Answers

Answer:

5/8 or 0.625 or 62.5%.

Step-by-step explanation:

20/32       Divide top and bottom by 4:-

= 5/8.

Help Help Help Help Help Help

Answers

Answer:

what happened are you OK

(root 5ab2) where a =5 and b= 2​

Answers

sorry pls ignore this answer

but I think it's 10

[tex]\\ \sf\longmapsto \sqrt{5 {ab}^{2} } \\ \\ \sf\longmapsto \sqrt{5 \times 5 \times {2}^{2} } \\ \\ \sf\longmapsto \sqrt{25 \times 4 } \\ \\ \sf\longmapsto \sqrt{100} \\ \\ \sf\longmapsto 10[/tex]

Please help me with number 1 please help ???

Answers

Answer:

mean: 26

median: 28

mode: 28

range:19

Step-by-step explanation:

hipe this helped hun

a long distance runner ran 10,000 meters in 28mins.work out his speed in (a)meters/min B. meters/sec​

Answers

answer:

Times it or multiply to get 2800000 then It should be B meter's by seconds.

Step-by-step explanation:

Ayudaa con esa qnq

-9/4 + 3/7 x -1/11

Answers

Answer:

3x-721/44 over 7

Step-by-step explanation:

1)Combine multiplied terms into a single fraction

2)Multiply the numbers

3)Subtract the numbers

4)Find common denominator

5)Combine fractions with common denominator

6)Multiply the numbers

7)Rearrange terms

evaluate the expression when b = 4 and y = -6.

-b + 5y

Answers

Answer:

Answer = -34

Step-by-step explanation:

B = 4 ; y = -6

So,

-4 + (5) (−6)

= −4 + −30

= −34

Hope you get it :)

The value of expression will be;

⇒ - 34

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - b + 5y

And, The values are,

⇒ b = 4, y = - 6

Now,

Since, The expression is,

⇒ - b + 5y

Substitute  b = 4, y = - 6, we get;

⇒ - 4 + 5 × - 6

⇒ - 4 - 30

⇒ - 34

Thus, The value of expression is,

⇒ - 34

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

if 5-3(2a+1)=-4+10, what is the value of a+2​

Answers

[tex]\\ \rm\Rrightarrow 5-3(2a+1)=-4+10[/tex]

[tex]\\ \rm\Rrightarrow 5-6a-3=6[/tex]

[tex]\\ \rm\Rrightarrow -6a+2=6[/tex]

[tex]\\ \rm\Rrightarrow -6a=6-2[/tex]

[tex]\\ \rm\Rrightarrow -6a=4[/tex]

[tex]\\ \rm\Rrightarrow a=\dfrac{4}{-6}[/tex]

[tex]\\ \rm\Rrightarrow a=\dfrac{2}{-3}[/tex]

Now

[tex]\\ \rm\Rrightarrow a+2[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2}{-3}+2[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2-6}{-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-4}{-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{4}{3}[/tex]

Answer:

7/3

Step-by-step explanation:

5 - 3(2a+1) = -4 + 10

=> 5 - 6a + 3 = 6

=> 5 - 6 + 3 = 6a

=> 2 = 6a

=> 6a = 2

=> a = 2/6

=> a = 1/3

a + 2

1/3 + 2

=> 1/3 + 6/3

=> 7/3

Here’s the whole thing only posted half

Answers

Answer:

48 49 51 53 58

Step-by-step explanation:

48×2= 96 so 49 51 53 and 58 are greater hope this helps:)

-15 + 8x = x + 3
STEP BY STEP

Answers

[tex] - 15 + 8x = x + 3 \\ 8x - x = 3 + 15 \\ 7x = 18 \\ \\ x = \frac{18}{7} \\ \\ x = 2.571[/tex]

We put the unknown on one side, and the other end is empty of the unknown , When it turns to the other side, its sign changes.

As for the number with the unknown, it becomes the denominator with the number without the unknown.

I hope I helped you^_^

Each row in A parking lot has 15 spaces. How many spaces could be in the parking lot. Give 5 possibilities. PLS HELP ME PLS

Answers

Answer: 30, 45, 60, 75, 90

Step-by-step explanation: you will use multiples of 15 to find the answer. Detail given below:

1. if parking lot have 2 rows then 30 spaces

2. if parking lot have 3 rows then 45 spaces

3. if parking lot have 4 rows then 60 spaces

4. if parking lot have 5 rows then 75 spaces

5. if parking lot have 6 rows then 90 spaces

Can anyone help me out with this? (recursive formulas)

Answers

Step-by-step explanation:

[tex]b(1) = 4[/tex]

Since this is an arithmetic sequence, notice that if you subtract b(1) (i.e., 4) from b(2)(i.e., 22), you get 18. Likewise, if you subtract b(2) from b(3) you also get 18. Therefore,

[tex]b(n) = b(n-1) + 18[/tex]

Help me please please this is due in 10 mins!!!!!

Answers

Answer:

that's cheating, still your indian bro will help _XD

Step-by-step explanation:

ab = 34

bc 33

ac 27

pq 27

qr 27

pr 40

If (x,-3) is a solution to the equation 4x = 5y - 1, what is the value of x?

Answers

9514 1404 393

Answer:

  x = -4

Step-by-step explanation:

Put the given point in the equation and solve for x.

  4x = 5(-3) -1

  4x = -16 . . . . . . simplify

  x = -4


A number consists of three digits, 9,5 and another. If these digits are reversed and then subtracted from
the original number, an answer will be obtained consisting of the same digits arranged in a different order
still. What is the other digit?

Answers

Answer:

1

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

There are 6 ways of arranging 9,5 and n.
Two have been used so the answer must be one of 59n, n95, 9n5 and 5n9
I will show one wrong and then the correct answer

95n - n59 = 5n9
950 + n - 100n - 59 = 509 + 10n
891 - 99n = 509 + 10n
382 = 109n
n = 382/109 wrong

95n - n59 = n95
950 + n - 100n - 59 = 100n + 95
891 - 99n = 100n + 95
796 = 199n
n = 796/199 = 4

So 954 - 459 = 495

The other digit is 4

A lawn in the shape of a trapezoid has an area of 1,800 square meters. The length of one base is 50 meters, and the length of the other base is 40 meters. What is the width of the lawn?​

Answers

9514 1404 393

Answer:

  40 m

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2(b1 +b2)h

Using the given values, we can find h to be ...

  1800 = 1/2(50 +40)h

  3600 = 90h . . . . . . . . . multiply by 2

  40 = h . . . . . . . . . . . divide by 90

The width of the lawn is 40 meters.

Choose all that give a level of accuracy appropriate for situation.

The distance for a flight from Georgia to Texas to the nearest mile.

Measuring how long the large mouth bass you caught while fishing to the nearest foot.

The number of party favors needed for a birthday party by the whole number.

The volume of water in a water bottle to the nearest fluid Ounce.

The cost of new laptop plus tax calculated to the nearest tenth.

Answers

Using unit measurement concepts, it is found that the correct options are:

The distance for a flight from Georgia to Texas to the nearest mile.Measuring how long the large mouth bass you caught while fishing to the nearest foot.  The number of party favors needed for a birthday party by the whole number.The cost of new laptop plus tax calculated to the nearest tenth.  

----------------------------------

When measurements are made, the unit used is a big consideration, to give accuracy to the measurement. For example, measuring a person's height is kilometres would not give an accurate representation.

----------------------------------

In the first option, for distance between cities or states, miles is the most widely used metric, so this option is correct.In the second option, heights of mouth bass are usually measured in inches, which is easily converted to feet(dividing by 12), and thus, this option is correct.In the third option, for each person, there is usually a favor, thus, whole number is an accurate metric, and this option is correct.In the fourth option, volume of water is usually measured in liters, and fluid ounces are way smaller than liters, thus not giving an accurate representation.In the fifth option, costs of products, especially expensive products such as laptops, are rounded to the nearest tenth, and thus, this option is correct.

A similar problem is given at https://brainly.com/question/16563559

union and intersection of sets

Answers

Answer:

The union of two sets contains all the elements contained in either set (or both sets). The union is notated A ⋃ B. The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B.

Answer:

Union

The union of a set A with a B is the set of elements that are in either set A or B. The union is denoted as A∪B. For example, if A is the set {♢,♡,♣,♠} and B is the set {△,♡,♠}, then A∪B={♢,♡,♣,♠,△}.

Intersection

Intersection of two given sets is the largest set which contains all the elements that are common to both the sets. To find the intersection of two given sets A and B is a set which consists of all the elements which are common to both A and B. The symbol for denoting intersection of sets is '∩'.

simplify the equation 5+4(8-6)^2

Answers

Answer:

21

Step-by-step explanation:

5+4(8-6)^2

5 + 4 (2)^2

5 + 4 (4)

5 + 16

21

Answer:

21

5+4(8-6)^2

5 + 4 (2)^2

5 + 4 (4)

5 + 16

=21

Hope this helps <3

Hi guys plz plz plz thank my answer to this question and i am really trying to win this brainliy competition. i have to get at the min 15 to catch up! plz help and thank and 5 star it but anyway have a great day and stay safe!

https://brainly.com/question/24385647

Me ayudarias a resolver los problemas :c

Answers

::)wthdudhdheheebdndjdjdjdjdn

Help please due today

Answers

Answer:

3.2=6

4.2=8

5.2=10

the scale factor is 2

Write the number in expanded form 68,020

Answers

Answer:

hope it is helpful

Step-by-step explanation:

68,020-

6= 60,000

8= 8,000

0=0

2= 20

0=0

Select the best answer for the question.
14. What is the value of 3(-9) +6 |-6|?
A. -63
O B. 27
O C. 9
D. 63
O Mark for review (Will be highlighted on the review

Answers

Answer:

9 is the correct answer

hope that it will help you

PLEASE HELP

X/2-7=9

Show your work in details if you can, I have a hard time understanding this.

Answers

I’m not very good at math but here’s my reasoning:
x/2-7=9
I moved the 7 to the other side of the equation
So now
X/2 = 9 + 7
X/2 = 16
Since x is equal 16 if you divide x by 2 (because x/2=16), that means if you want to find x you need to multiply x by 2
X = 16 x 2
X = 32
I hope it’s right !! <3

Answer:

Step-by-step explanation:

x/2  - 7 = 9                  Add 7 to both sides

      +7     7

x/2 = 16                        Multiply both sides by 2

2*x/2 = 16*2        

x = 32

You are at about the second stage of solving equations. So far what you should know is that you should add or subtract before doing multiplication or division.

Take a much simpler question

x - 8 = 10        What do you do here? You can't multiply or divide. So add

  +8    8

x    =    18

Now try what you have

2x - 5 = 11                      Add before multiplication or division

    5      5

2x = 16                          Divide by 2

2x/2 = 16/2

x = 8

In the word problem below, what answer or solution are you being asked to
find?
STEP 2: PLAN
The entire school, 250 students, went to the soap
box derby. The Math Club went in 2 vans, and
each van held 6 students. How many students
from the Math Club went to the soap box derby?
O A. 6-2=?
O B. 6 + 2 = ?
O C. 6 x 2 = ?
O D. 6 - 2 = ?

Answers

Answer:

the answer is C 6x2 .....................

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