Solve dy/dx = (1-x)(1-y)

Answers

Answer 1

Answer:

[tex]y=1-e^{c_{2}}}*e^{-x} *e^{x^2}[/tex]

Step-by-step explanation:

We begin with the differential equation [tex]\frac{dy}{dx} =(1-x)(1-y)[/tex]

Firstly, we need to get the [tex]y[/tex] and [tex]dy[/tex] as well as the [tex]x[/tex] and [tex]dx[/tex] on the same sides as each other

To do this, we can multiply each side by [tex]dx[/tex] and divide each side by [tex](1-y)[/tex]

Doing this will give us the following differential

[tex]\frac{1}{1-y} dy=(1-x)dx[/tex]

Now, we can integrate each side

[tex]\int\limits\frac{1}{1-y} \, dy =\int (1-x) \, dx\\\\-ln(1-y)=x-x^2+c_{1}[/tex]

Now, we need to solve for y

[tex]-ln(1-y)=x-x^2+c_{1}\\\\ln(1-y)=x^2-x+c_{2} \\\\1-y=e^{x^2-x+c_{2}} \\\\y=1-e^{x^2-x+c_{2}}\\\\y=1-e^{c_{2}}}*e^{-x} *e^{x^2}[/tex]


Related Questions

Find the hypotenuse of each Isosceles right triangle when the legs are of the given measure.
Given = 6squareroot2

Answers

Answer:

12

Step-by-step explanation:

We can use the pythagorean theorem giving us:

a^2+b^2=c^2

(6sqr2)^2 + (6sqr2)^2 = c^2

72+72=c^2

144=c^2

12=c

Take 2 y2 - 3 y - 5 from y3 - 6 y2 + 5 y . Select the correct answer.

A) y3 - 2 y2 + 3 y + 5
B) y3 - 4 y2 + 2 y - 5
C) y3 - 4 y2 + 2 y + 5
D) y3 - 8 y2 + 8 y + 5

Answers

Answer:

b

Step-by-step explanation:

Hope this helpsss :)

Answer:

your answer will be: B. y3 - 4 y2 + 2 y - 5

Step-by-step explanation:

Translate the statement into an equation. Then solve the equation.
The sum of 8 and 3 times a number is 23.
3x - 8 = 23; 5
8+ 3x = 23,5
3x = 8+23; 10
(8 + 3)x = 23; 2

Answers

It’s is the second option because the description matches

write the equation of circle b with center B(-2,3) that passes through (1,2)

Answers

Answer:

[tex](x+2)^2 + (y-3)^2 = 10[/tex]

Step-by-step explanation:

The standard equation for circle is

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

where point (a,b) is coordinate of center of circle and r is the radius.

______________________________________________________

Given

center of circle =((-2,3)

let r be the radius of circle

Plugging in this value of center in standard equation for circle given above we have

[tex](x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)[/tex]

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.

Plugging in the point (1,2 )  in equation 1 we have

[tex]\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\[/tex]

now we have value of r^2 = 10, substituting this in equation 1 we have

Thus complete equation of circle is [tex]=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10[/tex]

find x and y i will give brainliest

Answers

Answer: N= 135, M=45.

Step-by-step explanation:The formula to find the degree inside of a shape is: (n-2)180. This is an octagon, so it has 8 sides, plug this in for n.

8-2 * 180

1080                              divide by 8 to get the value of n

n=135

The formula for an angle outside of the shape is:

360/n   n is still eight, so plug this in for n

360/8

m=45

Answer:

n = 135 degrees ( ° ) ,

m = 45 degrees ( ° )

Step-by-step explanation:

* Sorry I didn't answer this before *

1. In this figure we can see that this visual is a representation of an octagon, provided it's 8 sides.

2. Knowing this, let us split this figure into triangle 180 degrees each ⇒ compute the total interior angles in degrees.

3. If you were to draw lines from one vertex to any other non-adjacent vertices, it would be that 6 triangles are formed.

4. One triangle ⇒ 180 degrees ( ° ) so that this octagon ⇒ 180° * number of triangles, or ⇒ 180 * 6 = 1080°

5. Knowing that this shape is a regular polygon, all angles are congruent such that if x represents one interior angle ⇒ 8x = 1080, ⇒ x = 135°. As n acts as one of the interior angles in this figure ⇒ n = 135 degrees ( ° )

6. Now through supplementary angles, the interior angle adjacent to angle m would form a linear pair, adding to 180°.

7. This would mean that m + interior angle = 180, and as all interior angles were found to be 135 degrees ⇒ m + 132 = 180 ⇒ m = 45 degrees ( ° )

This recipe will serve 12 pancakes.
Find out how much of each ingredient you would need for 24 pancakes.
Find out how much of each ingredient you would need for 6 pancakes.
Ingredient
12 pancakes
24 pancakes
6 pancakes
4
Eggs
11 tsp
Flour
tsp
Baking Powder

Answers

24 pancakes 8 eggs 22 tsp of flour and 2 tsp of baking powder

6 pancakes 2 eggs 5 1/2 tsp of flour and 1/2 tsp of baking powder

15 ÷ 3 = Δ

Find the value of Δ.


A)
5


B)
12


C)
18


D)
45

Answers

Answer:

A)5 is the answer

Step-by-step explanation:

this is the answer

Answer:

A- 5

Step-by-step explanation:

15/3 = 5

Stan guessed on all 10 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he got at least 2 questions correct? Round the answer to the nearest thousandth.

P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction
0.211
0.244
0.756
0.944

Answers

Answer:

The answer is C.) 0.756

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

just did the test on edge 2020

A cylinder has a height of 19 inches and a radius of 18 inches. What is its volu
3.14 and round your answer to the nearest hundredth.

Answers

Answer:

19339.64 in³

Step-by-step explanation:

Volume of a cylinder: V = π · r² · h

V = π · 18² · 19

V = π · 6156

V = 19339.64 cubic inches

What type of graph does not show the mean?

Answers

The misleading one or the one that miss out information.

"Mean" Means the middle number of the total number. Like add all the number in the graph and divide by 2

Answer:

A bar graph.

Step-by-step explanation:

Because a bar graph is a chart used to represent data visually using bars of different heights or lengths.

Can you help me please

Answers

Answer:

372.6

3Step-by-step explanation:

What is the solution to the equation ^3sqrtX+4+ ^3sqrt2X+8=0?
x = –12
x = –4
x = 4
x = 12

Answers

Answer:

Cover 2

Step-by-step explanation:

Answer:

Uhh x is like -4 bruh

Step-by-step explanation:

So b on edge ye

Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.85 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.

Answers

Answer:

$80.48

Attached is the image of the entry way

Step-by-step explanation:

Given that each unit length represents 1 foot.

To find the area of the shape shown in the attached image, we need to divide the shape into two parts at about 4 ft from the bottom.

The top shape is a trapezoid of base length 4 ft, top length 7 ftand height 5 ft, while the bottom shape is a parallelogram with one side equal to 4 ft and height 4 ft

Area of a Trapezium = 1/2 × (a+b)h

a = 4ft, b= 7ft, h = 5ft

Substituting the values;

Area of trapezoid = 1/2 × (7 + 4)x 5

Area of trapezoid = 27.5 ft^2

Area of a parallelogram = length × height

Length = 4 ft, height = 4 ft

Substituting the values;

Area of parallelogram = 4 x 4

Area of parallelogram = 16 ft^2

Total area = area of trapezium + parallelogram

Total area = 27.5 + 16 = 43.5 ft^2

Cost per square foot = $ 1.85

Total cost = cost per square foot × area

Total cost = $1.85 per square foot × 43.5ft^2

Total Cost = $80.48

Answer:

Sal will pay $ 80.48  to tile his entryway.

Step-by-step explanation:

Separate the entryway into simpler shapes: a trapezoid and a parallelogram.

Find the area of the simpler figures. Count units to find the dimensions.

Trapezoid

A =   1/ 2

h(b₁ + b₂)

A =   1/ 2

(5)(4 + 7)

A =   1/ 2

(5)(11)

A = 27.5

The area of the trapezoid is 27.5 ft  

2 .

Parallelogram

A = bh

A = 4 · 4

A = 16

The area of the parallelogram is 16 ft  

2 .

Find the area of the entryway.

A = 27.5 + 16

A = 43.5

The area of the entryway is 43.5 ft  

2 .

Calculate how much Sal will pay to tile his entryway.

Area · Cost per foot =  Total Cost

43.5 · $1.95 =  $84.83

Sal will pay $84.83 to tile his entryway.

Simplify 5(x – 7) + 6x.

Answers

Answer:

11x -35

Step-by-step explanation:

5(x – 7) + 6x.

Distribute

5x - 35 +6x

Combine like terms

11x -35

Answer:

11x-35

is the answer

Brett is comparing the graphs of y = 2X and y = 5x. Which statement is true?

Answers

The correct question is:

Brett is comparing the graphs of y = 2^x and y = 5^x. Which statement is true?

(1) The y-intercept of y = 2^x is (0,2), and the y-intercept of y = 5^x

is (0,5). [

(2) Both graphs have a y-intercept of (0,1), and y = 2^x is steeper.

(3) Both graphs have a y-intercept of (0,1), and y = 5^x is steeper.

(4) Neither graph has a y-intercept.

Answer:

(2) and (3) are true.

Step-by-step explanation:

The correct options are:

(2) Both graphs have a y-intercept of (0,1), and y = 2^x is steeper. Since X < 0

(3) Both graphs have a y-intercept of (0,1), and y = 5^x is steeper. Since X > 0

The cost of a shirt is $56. There is a markup of 18%
for the store. Wha t will be the cost of the shirt in the
store?

Answers

Answer:

66.08

Step-by-step explanation:

First find the markup

56 * 18%

56*.18 =10.08

Add this to the original price

56+10.08

66.08

This is the cost in the store

Answer:

$66.08

Step-by-step explanation:

18% of 56= 10.08

56+10.08=66.08

hope this helps :)

A person purchases items marked $2.95, $12.99, $6.97, and $4.19. What is the total cost of these purchases including 6% sales tax

Answers

the total of the purchases is $28.73

please help me with this it is the last quastion i need help with

Answers

Answer:

$92.92

Step-by-step explanation:

$72.60 * 20% = 14.53

$72.60 + 8%= $78.40

$78.40 + $14.52 = $92.93

She paid $87.12 for the service.
20% of 72.60 (or 72.60 x .20) is 14.52.
72.60 + 14.52 = 87.12

Which phrase represents this expression?

(47−17)×4


A. 4 times the difference of 47 and 17

B. 4 times the difference of 17 and 47

C. the difference of the product of 4 times 17 and 47

D. the difference of 47 and the product of 4 times 17

Answers

A. 4 times the difference of 47 and 17

help please!!!!!!!!!!!!!

Answers

Answer:

4: <5= 115°

5: <2= 115°

6: <6= 115°

10: <1= 30°

11: <4= 30°

12: <6= 150°

Step-by-step explanation: Hope this helped

Help help help me me me

Answers

Step-by-step explanation:

...

the answer is 49/40

what are the solutions to the system of equations graphed below?

Answers

Answer:

(-3,-3) and at (0,6)

Step-by-step explanation:

The solution to the system of equations is where the graphs intersect

The graphs intersect at (-3,-3) and at (0,6)

Montel needs to determine the distance from -3 to zero. Which statement best desribes the process Montel should use?

F. Find the absolute value of negative three.

G. Find the opposite of positive three.

H. Find the absolute vaule of positive three.

J. Find the opposite of negative three.​

Answers

Answer:

F

Step-by-step explanation:

Absolute value finds the distance between a number and 0, which is what the question is asking for -- the distance between -3 and 0.

Two cruise ships sail from New York to Florida . One ship makes the round trip in 8 days and the other in 10 days . Both ships set sail from New York today. What is the fewest number of days both ships will sail again from New York on the same day ?
Please show work

A. 2
B. 18
C. 40
D. 80

Answers

Answer:

the answer is 40

Step-by-step explanation:

you have to multiply 8x10=80 divied by 20 which equal 40

Answer:

c

Step-by-step explanation:

please help i don't get it

Answers

the perimeter is just all the lines around the outside of the shape so basically take all the numbers and add them together to get the answer

Answer:

97 cm

Step-by-step explanation:

The perimeter of a shape is the length of the whole shape so the perimeter of this shape would be

3 + 10 + 3 + 33 + 33 + 15 = 97 cm

What number should both sides of the following equation be multiplied by to solve for x?

x/7.25 = 4

4
7.25
7
29

Answers

Answer:

[tex] \frac{x}{7.25} = 4 \\ x = 4 \times 7.25 \\ x = 29[/tex]

NEED HELP WITH THIS ASAP

Answers

Answer:

D; y= 2.52x

Step-by-step explanation:

You half $5.04 (the cost of two lbs of cranberries) and get $2.52 then multiply by x (the lbs.) equals y the cost of all the lbs. of cranberries.

Therefore getting the equation of y= 2.52x

Answer: y=2.52x

Step-by-step explanation:

if you take any of the statements you can calculate it.

Let "x" be pounds, and "y" the total cost of x pounds.

2x=5.04

Divide by 2

x=5.04/2

x=2.52

Find the area to the nearest hundredth

Answers

Answer:

9.0586 OR

9.06

Step-by-step explanation:

IDK, used fusion 360

pls help will mark as brainliest

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

It would have to be 3, because it says that 1/3 is wrong.

Multiply (x - 2)(3x + 4) using the distributive property. Select the answer
choice showing the correct distribution.​

Answers

Answer:

(x-2)(3x)+(x-2)(4)

When distributing you just break up the second parentheses and put the first parentheses infront of both of them, as it is shown in this answer.

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