Find the general solution of (x+3)y’=2y

Answers

Answer 1

Answer:

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

Step-by-step explanation:

We are given:

[tex]\displaystyle (x+3)y^\prime=2y[/tex]

Separation of Variables:

[tex]\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}[/tex]

So:

[tex]\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx[/tex]

Integrate:

[tex]\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx[/tex]

Integrate:

[tex]\displaystyle \ln|y|=2\ln|x+3|+C[/tex]

Raise both sides to e:

[tex]|y|=e^{2\ln|x+3|+C}[/tex]

Simplify:

[tex]|y|=(e^{\ln|x+3|})^2\cdot e^C[/tex]

So:

[tex]|y|=C|x+3|^2[/tex]

Simplify:

[tex]y=\pm C(x+3)^2=C(x+3)^2[/tex]


Related Questions

Someone help me, please:)

Answers

Answer:

12

Step-by-step explanation:

This is the correct answer:)

3. Solve for x.
(x-2)(x+ 8) = 0

Answers

Answer:

x = 2, x = -8

Step-by-step explanation:

Since the equation equals 0, you know either (x-2) or (x+8) has to equal 0.

This means x = 2, and x = -8

Hope this helps!

Solve 5x + 34 = –2 + 7x for x.
Question 14 options:

A)

x = 12

B)

x = 18

C)

x = –16

D)

x = –24

Answers

Answer:

x = 18

Step-by-step explanation:

Solve 1\ 7 + 1 \2= Show all your steps and don't get the answers from goo.gle.

and if it is not about the question four the answer I will report and no branlest

Answers

Answer:

[tex]\frac{9}{14}[/tex] = 0.642857143

Step-by-step explanation:

[tex]\frac{1}{7}+\frac{1}{2}[/tex]

Least common multiple of 7 and 2 is 14. Convert [tex]\frac{1}{7} and \frac{1}{2}[/tex] to fractions with denominator 14.

[tex]\frac{2}{14} + \frac{7}{14}[/tex]

Since [tex]\frac{2}{14} + \frac{7}{14}[/tex] have the same denominator, add them by adding their numerators.

[tex]\frac{2+7}{14}[/tex]

Add 2 and 7 to get 9.

[tex]\frac{9}{14}[/tex]

Find m
3x-6
8x+4
130

Answers

12 lolllll I’m pretty sure

Answer:

<A = 30°

The steps are given in the pic. Hope it will help :)

Solve the Antiderivative.​

Answers

1
∫ -------------------- dx
x² + 6x + 10


1
∫ -------------------- dx
(x+3)² + 1

Let t = x + 3
dt = dx

1
∫ -------------------- dt
t²+1

1/1 arctan(t/1)

1/1 arctan (x+3 / 1)


=arctan(x+3) + C

Give the sine, cosine, and tangent ratios for
both angle A and Angle B as a reduced fraction.

Answers

Answer:

sin A= 43.60 or 43 3/5 cos A= 43.60 or 43 3/5 tan A= 43 3/5

sin B= 46. 40 or 46 2/5 cos B= 46. 40 or 46 2/5 tanB= 46.40 or 46 2/5

Step-by-step explanation:

Hope this Helped

two sixth times five

Answers

Answer:

1 4/6

Step-by-step explanation:Put 5 into a fraction (5/1) then time 5/1 times 2/6 and get 10/6 then covert it into a mixed number 1 4/6

Write an equation using “x” and then solve the equation. The rate charged for a standard room is $250 dollars. A couple stayed in a standard room for x nights and their total room charge is $750.

Answers

Answer:

3 nights

Step-by-step explanation:

total charge = rate times time interval

Here, time interval = total charge / rate

                               $750 = ($250/night)(n nights)

                                Solving for n, we get n = 3 (nights)

An equation for a couple stayed in a standard room for x nights and their total room charge is $750 is, 250x  = 750

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

The rate charged for a standard room is $250 dollars

A couple stayed in a standard room for x nights

Total room charge =  $750

Equation = ?

Total charge = 250 × x

Total charge =  750

So,

250x  = 750

Thus, an equation is 250x  = 750

To know more about Equation check:

https://brainly.com/question/1529522

#SPJ2

Find tan0 where 0 is the angle shown

PLEASE I NEED HELP

Answers

Answer:

tan = 12/5..............

1) In statistics, the average is also
known as
O a) Mean
b) Median
c) Tally Marks
O d) Mode​

Answers

Answer:

In statistics the average is also known as mean.

Ans: mean

The average is also known as mean.

a population consists of the five measurement 2,3,6,5 and 7. what is the mean?​

Answers

Answer:

4.6

Step-by-step explanation:

Decide whether the two segments are parallel, perpendicular, or neither.
Show your work!
PO: P(5. 2) QC-1, 6)
AB: A(-2,3) B(4, -1)

Answers

Answer:

Step-by-step explanation:

You need to find the slopes of the line segments.

If the lines are perpendicular to each other, the product of their slopes is -1.

If the lines are parallel, they have the same slope.

please HELP ITS A GRADE AND TIMED I WILL MARK BRAINLIEST

Answers

Answer:

Domain: All Real Numbers

Range: y<0

Step-by-step explanation:

Looking at the graph, you can tell that the variable y has a lower point.

( I'm not sure how accurate this is I'm doing the same test right now. ;-;)  

8 slices of pizza and 5 sodas cost $36.50. 4 Slices of pizza and 10 sodas cost $37. How much does a slice of pizza cost? How much does a soda cost?


PLEASE HELP

Answers

Step-by-step explanation: If we use the variable p to represent our pizzas and s to represent our sodas, if our first equation states than 8 slices of pizza and 5 sodas cost $36.50, that's 8p + 5s = 3650.

Notice that I expressed cost in terms of cents so

that we can avoid having to deal with decimals.

In our second equation, 4 slices of pizza and

10 sodas cost $37, that's 4p + 10s = 3700.

Now let's rewrite our two equations on top of one another.

8p + 5s = 3650

4p + 10s = 3700

To solve this system of equations, I would use addition.

I would multiply the bottom equation by -2

to create a situation where our p's will cancel.

When we do that, we get -8p - 20s = -7400.

Now rewrite the equations once again ~

8p + 5s = 3650

-8p - 20s = -7400

Now add the equations together.

So we have -15s = -3,750.

Divide both sides by -15 and s = 250.

Remember that I expressed cost in terms of cents so

since s = 250, it really means that a soda is $2.50.

Now just plug an s back in for the s in one equation.

When we do this, we find that p = 300.

So a pizza is $3.00

37 + 1/7 (-1/2) = ??

Answers

Answer:

517/14 good luck !!

Step-by-step explanation:

Answer: answer in photo, hope it helps.

Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y = 1x - 2

Step-by-step explanation:

Answer:y=x-2

Step-by-step explanation:

each y is the x number with 2 taken away

Write an equation in slope-intercept form of a line that has a slope of 1/5 and a y-intercept of 4.​

Answers

Answer:

y=1/5x+4

Step-by-step explanation:

If Jimmy boy here has 35 ropes and he washes 56 paper, how much wetlands will Johnny Boy own left.

Answers

Answer:

All of what he had

Step-by-step explanation:

Answer: jimmy will have it all

Step-by-step explanation:

What is the first step in solving 5x-2=3

Answers

Answer:

5x-2=3

5x=3+2

5x=5

x=5÷5

x=1

Simplify to create an equivalent expression.

2(−2−4p)+2(−2p−1)

Choose 1 answer:

(Choice A)
A
-12p-6

(Choice B)
B
-10p-6

(Choice C)
C
-12p+6

(Choice D)
D
12p-6​

Answers

Answer:

choice A

Step-by-step explanation:

-8p-4p - 4 - 2

= -12p-6

what the word form of 500.2​

Answers

Answer:

How to Write Out USD 500.2 Dollars in Words: five hundred dollars and twenty cents.

I count on the best

What is the approximate length of a female green anaconda?

a) 4.6m b) 46m c) 460m d) .46m​

Answers

Answer:

A

Step-by-step explanation:

More typical mature specimens reportedly can range up to 5 m (16.4 ft), with adult females, with a mean length of about 4.6 m (15.1 ft), being generally much larger than the males, which average around 3 m (9.8 ft).

Concept Bank a) central tendency d) event g) population j) random experiment m) sample mean p) sample space b) continuous random variable e) measures of spread h) probability k) range n) sample median q) standard deviation c) discrete random variable f) outlier i) variability l) sample o) sample mode r) statistical inference ____ The practically infinite number of possible values that a random variable can take on in an experiment ____ The process of observing the outcome of a random chance event ____ The number that quantifies the likelihood that a certain random event will happen ____ All possible outcomes that can result from a random experiment ____ This exist when successive observations of a particular system vari

Answers

Answer:

Continuous random variable - The practically infinite number of possible                   values that a random variable can take on in an experiment

Random experiment - The process of observing the outcome of a random   chance event

Probability - The number that quantifies the likelihood that a certain  random event will happen

Sample space -  All possible outcomes that can result from a random experiment

Variability - This exist when successive observations of a particular system variable or phenomenon do not produce the exact same result.

Statistical inference - The use of information from a sample to draw conclusions about the population

Sample mean - The most commonly used measure of central tendency of a distribution of data

Event - A subset of the sample space

Standard deviation - A measure of the extent to which the values in the data set differ from the mean

Outlier - An observation point that is distant from other observation.

please answer this quick. will give brainliest

Answers

Answer:

the time Ari spent to walk is

[tex]1 \frac{3}{4} \div 1 \frac{1}{4} = 1.4(h)[/tex]

the time Beth spent to walk is

[tex]1 \frac{1}{2} \div 1 \frac{1}{8} = 1.(3)(h)[/tex]

the time Cathy spent to walk is 1h21' = 1.35(h)

so the time Ari spent > Cathy > Beth

=> list: Beth, Cathy, Ari


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y= 4x + 1 ???

Step-by-step explanation:

I don't know this.. I haven't gotten to this yet so this is just a guess.. Im sorry if its wrong

I think it is y= 1x+74 (I put it in stat then went to 4 which is LinReg)

A color printer prints 23 pages nine minutes how many minutes does it take per page

Answers

Answer: 2 pages

Step-by-step explanation:

Answer:

2.55555555555555555555555555556

11.
8. The graph below shows the price Joanna
sells tomatoes according to their weight.
Write an equation for the graph.
h
H
Tomato Prices
12
10
Price (in dollars)
12
12.
Weight
(in pounds)
a. y = -x
6
10
b. y =
12
c.
=
d. y = x

Answers

Answer:

the question is invalid. please rewrite the question.

A map uses a scale of 1 in :20mi. Find the the actual distance of 5.5 inches on the map. help me​

Answers

Answer:

110

Step-by-step explanation:

5.5 x 20 = 110

How to solve this equation

Answers

Answer:

[tex]\frac{y^{6}}{4x^{2} }[/tex]

Step-by-step explanation:

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