The general solution of e x cosydx−e x sinydy=0 is :__________

Answers

Answer 1

Answer:

General solution    x   = log | sec y | + C            

Step-by-step explanation:

Step(i):-

Given

          [tex]e^{x} cosy dx - e^{x} sin y d y = 0[/tex]

         [tex]e^{x} (cosy dx = e^{x} sin y d y[/tex]

           cos y dx = sin y d y

                [tex]dx = tan y d y[/tex]

Step(ii):-

now integrating on both sides , we get

            [tex]\int\limits {1} \, dx = \int\limits {tany} \, dy[/tex]

by using formula

               [tex]\int\limits {tany} \, dy = log | sec y | + C[/tex]

             x   = log | sec y | + C

Final answer:-

General solution    x   = log | sec y | + C

           

     

       


Related Questions

100÷2[500÷5{6 + (21+7-24)}}
can any one ????​

Answers

The answer would be 50,000

Answer:

50,000

Step-by-step explanation:

=100÷2[500÷5{6+4}]

=100÷2[500÷5×10]

=100÷2[100×10]

=100÷2×1000

=50×1000

=50000

The points (-2, 6) and (3, __ ) are data values of an inverse variation. Fill in the missing value.

Answers

Answer: y=6

Step-by-step explanation:

It is inverse so you know it’s y=k/x. Taking the first orders pair you find that k= -12. Then if you put it in y= -12/-2 you get 6 therefore y=6. Your welcome

solve this I am stuck

3x+1=10
solve for x​

Answers

Answer:

x=3

Step-by-step explanation:

10 + 1 = 11

11 - 3 = 9

9 divided by 3 = 3

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3x + 1 = 10

Step 2: Solve for x

Subtract 1 on both sides:                    3x = 9Divide 3 on both sides:                       x = 3

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    3(3) + 1 = 10Multiply:                               9 + 1 = 10Add:                                     10 = 10

Here we see that 10 does indeed equal 10.

∴ x = 3 is the solution to the equation.

Find the surface area of the rectangular prism using its net

Answers

Answer:

62

Step-by-step explanation:

3 x 5 = 15

3 x 2 = 6

2 x 5 = 10

15 x 2 = 30

6 x 2 = 12

10 x 2 = 20

30 + 12 + 20 = 62

Which table representing a linear function has a lower rate of change than this function?
y = 2x−5

Answers

Purring. Although purring can mean a number of things, you can be sure that when your cat is curled up on your lap purring, they're expressing their love and contentment with you. ...

Work out the size of AED. Work out x

Answers

Answer:

a). m∠AED = 70°

b). x = 10°

Step-by-step explanation:

a). Quadrilateral ABDE is a cyclic quadrilateral.

Therefore, by the theorem of cyclic quadrilateral,

Sum of either pair of opposite angle is 180°

m(∠AED) + m(∠ABD) = 180°

m(∠AED) = 180° - 110°

m(∠AED) = 70°

Since, ∠AED ≅ ∠EAD

Therefore, m∠AED = m∠EAD = 70°

b). By triangle sum theorem in ΔABD,

m∠ABD + m∠BDA + m∠DAB = 180°

110° + 40° + m∠DAB = 180°

m∠DAB = 180° - 150°

m∠DAB = 30°

m∠BAE = m∠EAD + m∠BAD

              = 70° + 30° = 100°

By angle sum theorem in ΔACE,

m∠EAC + m∠AEC + m∠ACE = 180°

100° + 70° + x° = 180°

x = 180° - 170°

x = 10°

sum of 5 times of x and thrice of y is 106​

Answers

Answer:

sum of 5 times of x and thrice of y is 106

[tex] \huge \boxed{5x + 3y = 106}[/tex]

Answer:

[tex]\huge\boxed{\sf 5x + 3y = 106}[/tex]

Step-by-step explanation:

5 times of x = 5x

Thrice of y = 3y

The sum:

5x + 3y = 106

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Kim made 4 cups of chili . She ate 1 3/4 of it for lunch how many cups of chili did Kim have over?

Answers

Answer:

2 1/4

Step-by-step explanation:

The answer would be 2 and 1/4 of chili

Find domain of the function
F(x)=7x+4

Answers

Answer:

all real numbers or infinity

Step-by-step explanation:

this function is linear and linear functions always have an infinite domain and range

In one house , there are 5 hens, 10 goats and 8 cows. there are some man to look after them. If the number of heads is less than 65, then the number of man will be​

Answers

Answer:

Pretty sure is 42

Step-by-step explanation:

5+10+8=23

65-23=42

The number of men will be​ 42 if there are 5 hens, 10 goats, and 8 cows.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

In one house, there are 5 hens, 10 goats, and 8 cows.

Let H be man's head

H < 65

Total heads = 5 + 10 + 8 =23

Man's heds = 65 - 23 = 42

Thus, the number of men will be​ 42 if there are 5 hens, 10 goats, and 8 cows.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ2

can someone help please this is due tomorrow

Answers

1. 4(6+4)
2. 5(1+3)
3. 4(4+5)
4. 4(1+2)
5. 5(2+5)
6. 12(1+3)
7. 24(1+3)
8. 8(5+2)
9. 5(4+10)
10. 4(3+11)
11. 6(6+7)
12. 10(1+6)

24+16 ║ 4(6+4) or 8(3+2)

5+15   ║ 5(1+3)

16+20 ║ 4(4+5)

4+8     ║4(1+2) or 2(2+4)      

10+25 ║ 5(2+5)

12+36 ║ 12(1+3)

24+72 ║24(1+3) or 12(2+6)

40+96 ║8(5+12)

20+50 ║10(1+6)

12+44  ║4(3+11)

36+42 ║6(6+7)

10+60  ║ 10(2+5)

how do you divide a whole number by a fraction​

Answers

Answer:Multiply the denominator on the bottom of the fraction by the whole number you are dividing by.

To divide a fraction by a whole number, multiply the bottom of the fraction by this whole number.

The denominator on the bottom of the fraction is 7.

We will multiply 7 by 2.

7 × 2 = 14 and so, 6 / 7 ÷ 2 = 6 / 14 .

Step-by-step explanation:

Answer:

To divide a fraction by a whole number, multiply the bottom of the fraction by this whole number

Step-by-step explanation:

hope this helps have a good rest of your day

The graph shows the function f(x) =2*x what is the value of x when f(x)=8

Answers

Answer:

f(x)= 2ˣ

We have to find x when f(x) is 8

8=2ˣ

we can write 8 in exponential form as 2³

2³=2ˣ

here base is same (2) on both left and right side

comparing the powers we get

x=3

:)

Answer:

x=4

Step-by-step explanation:

since f(x )=8

8=2*x

we divide by 2 both side

so,

x=4

Does anyone know how to do this ?

Answers

Answer:20

Step-by-step explanation:

20 ounces of cheese.

PLEASE HELP

What is the slope of this line?

a) -2
b) -1/2
c) 1/2
d) 2 ​

Answers

Answer:

C: 1/2

Step-by-step explanation:

Use the slope formula

Answer:1/2

Step-by-step explanation:

1__1/_2__6

Carolyn sells boxes of cookies for $12 per box. She makes $900 total selling cookies.


How many boxes of cookies did Carolyn sell?

Answers

Answer:

75

Step-by-step explanation:

The number of boxes of cookies Carolyn sold is 75.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost of 1 box of cookies = $12

Total earnings in selling boxes of cookies = $900

The number of boxes of cookies sold.

= 900 ÷ 12

= 75

Thus,

The number of boxes of cookies sold is 75.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

100 POINTS IF YOU ANSWER!!

Determine which expression(s) is in its simplified form. Select all situations that apply.
x²/xy
12x/y
4x/32z
5z/xy
z^4/xyz

Answers

Answer:

I think it will be 12x/y

Step-by-step explanation:

it must help you

Answer:

12x/y and 5z/xy

Step-by-step explanation:

An airplane travel at a constant speed of 575 miles per hour.write and equation that can be used to determine the number of miles the airplane will travel in hours her equation is 575m determine why her equation does not correctly model the problem

Answers

Answer:

[tex]m = 575h[/tex]

Step-by-step explanation:

Given

[tex]Rate = 575 miles/hour[/tex]

Required

Determine the equation for the model

Represent the number of hours with h and the miles with m.

Using distance formula:

[tex]Distance = Speed * Time[/tex]

In this case, it is:

[tex]Miles = Rate * Hour[/tex]

So, we have:

[tex]m = 575 * h[/tex]

[tex]m = 575h[/tex]

Beth left to drive to the airport 105 minutes before her flight was scheduled to
depart. If she arrived at the airport 70 minutes early for her flight, how long
did it take her to drive to the airport?

Answers

Answer:

35 minutes

Step-by-step explanation:

105 - 70 gives you 35

I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!

Answers

Answer:

Mortgage cost: $213,000, cost per year: $10,650

Step-by-step explanation:

245000-45000 = 200,000 (the mortgage).

The total cost of the mortgage (t) is: 200000(6.5%)+200000.

t = 213,000

cost per year: 213000/20 = 10,650

What is the value -3(-2)

Answers

Answer:

-5...........................

The answer to 3-(-2) is 5 because two - signs signal to add.

In the past you paid $800
$
800
per month to rent your apartment. You now pay $900
$
900
per month for your rent. What is the percent increase in your rent?

Answers

I think you are yousing to much lectrsestey

Answer:

12.5%

Step-by-step explanation:

800+12.5%=900

ur welcome

How do you turn 6x-5y=8 into slope intercept form?

Answers

Answer:

Subtract 6x on both sides to get to this equation, -5y = -6x + 8.  Then, divide -5 on both sides to get your slope-intercept which is y = 6/5x -8/5.

Solve y = 3x2 + 7x - 12 using the quadratic formula. Show each step for full credit.

Answers

Answer:

y=7X-6

Step-by-step explanation:

mulitply 3 by 2 to get 6 Combine like terms. -12 + 6 equals -6 7x doesnt go in anywhere so let is be which concludes the answer to be y=7x-6

please help.. omgg urgent

Answers

the top one. they can't be expressed in a fraction or decimal

the awnser is the first option.

What would be the first step you do to solve the equation below?



-19 = 15 - 6x

Answers

Answer:

you would transfer 15 to the other side

Step-by-step explanation:

-19=15-6x

-34=6x

the first step would be to subtract 15 to both sides

The function f(x)= 3/4(10)-x is reflected across the x-axis to creat the function g(x). Which ordered pair is on g(x)?

Answers

Answer:

c

Step-by-step explanation:

did it on edge 2021

write a linear equation that has a slope of 1/2 and a y-intercept at the origin. (y=1/2x) (y=0x+1/2) (y=1/2x+1/2) (y=-1/2x)​

Answers

Answer:

The linear equation with given slope and y-intercept is:

Option 1: [tex]y = \frac{1}{2}x[/tex]

Step-by-step explanation:

The slope-intercept form of equation is given by:

[tex]y = mx+b[/tex]

Here

m is the slope of the line and b is the y-intercept.

Given that

Slope of line is 1/2 so m = 1/2

And y-intercept is on origin so b = 0

Putting the values we get

[tex]y = \frac{1}{2}x+0\\y = \frac{1}{2}x[/tex]

Hence,

The linear equation with given slope and y-intercept is:

Option 1: [tex]y = \frac{1}{2}x[/tex]

What is the probability of the following.
(a) An event A that is certain to occur?
(b) An event B that is impossible?
Enter an exact number

Answers

Answer:

(a) The probability of an event A that is certain to occur is 1.

(b) The probability of an event B that is impossible is 0.

Step-by-step explanation:

The probability of an event can be described as the chance that the event will occur.

The probability that an event will occur is between 0 and 1.

Based on the above, we can answer as follows:

(a) What is the probability of an event A that is certain to occur?

The probability of an event A that is certain to occur is 1.

(b) What is the probability of an event B that is impossible?

The probability of an event B that is impossible is 0.

PLZ HELP WILL MARK BRAINLIEST!!! +20 POINTS

Answers

Answer:

It is proportional because is it decreases 2 degrees ever half hour we know it would decrease 4 degrees every hour so the unit rate would be 4

Step-by-step explanation:

60/4=15=Dur8ng the time of 15 hours 60 degrees would have been decreased

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