The indicated function
y1(x)
is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,
y2 = y1(x)
e−∫P(x) dx
y
2
1
(x)

dx
(5)
as instructed, to find a second solution
y2(x).
x2y'' + 2xy' − 6y = 0; y1 = x2
y2 =

Answers

Answer 1

The indicated function y1(x) is a solution of the given differential equation, the second solution is mathematically given as

[tex]y2=\frac{-1}{5x^2}[/tex]

What is the second solution?

Generally, the equation for the differential equation is mathematically given as

x^2y^2+2xy1-6y=0

Where

p(x)=2/x

[tex]y_2=y_1\inte\frac{p(x)dx}{y1^2}dx\\\\\int{1/y1^2e^{\intp(x)dx}}dx=\int1/x^4.xe^{-2/x dx}dx\\\\\int{1/y1^2e^{\intp(x)dx}}dx=\int1/x^4.xe^{-2logx}dx\\\\\int{1/y1^2e^{\intp(x)dx}}dx=\int1/x^4.x * x^{-2}dx[/tex]

y2=x^2*-1/5x^5=-1/5x^3

[tex]y2=\frac{-1}{5x^2}[/tex]

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Related Questions

Please answer all of these

Answers

Answer:

4 is D, 5 is D, 6 is A, 7 is C

Step-by-step explanation:

just do da math

Five hundred teenagers were sampled at random about their favorite movie genre. The results are listed in the table below. Out of a population of three thousand teenagers, about how many will prefer action

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Answer:

Where is the table because I believe that is part of the answer.....

Answer:

924 teenagers


Which expression is equivalent to?

Answers

i believe A, not 100% sure though

Please help.
Will give brainliest

Answers

A.

Hope this helps.

r3t40

How much space is taken up by a book that is 12 inches long, 10 inches wide, and
1 inch tall?

Answers

120 cause 12x10x1 equal ONE TWENTYYYY YEAHHAHAHAHAHAHAHHHHHAAHAHHHHH

Answer: It takes up 120 inches^3

Step-by-step explanation:

A home improvement store advertises 60 square feet of flooring for $287.00 including an $80.00 installation fee. How much does each square foot of flooring cost?
50 POINTS *GIVEING BRAINLIEST*

Answers

60 square feet= $287.00 + $80.00

                       = $367

1 square feet= $367 / 60

                     = $6.116666667

                     = $6.12 (to 2dp) ( answer)

Answer:

60 square feet for 287 = 287/60 = 4.78 per square foot

so ur equation would be : y = 4.78x + 80

Step-by-step explanation:

What is another way to write x divided by 12
?

Answers

Answer:

x/12

Step-by-step explanation:

if y varies directly as x and y=3 when x=10, find x when y=8

Please, somebody, I need help

Answers

Answer:

26.6

Step-by-step explanation

3=10*k

3/10=.3

y=8

8=.3*x

8/.3=26.6


I WILL GIVE BRAINLIEST AND POINTS PLEASE I NEED TO PASS !!!!!!

Answers

The answer is D, 14...

Diabetic needs to calculate the amount of carbs in a meal to determine how much insulin to give
Cheese burger 38 grams of carbs
Regular( 12 oz ) shake is 56 grams of carbs
Regular order of fries(5.1 oz) is 44 grams of carbs

Answers

Answer:

138g

Step-by-step explanation:

38g+56g+44g=

138g

Does * 1/2 = 2/4 ? Explain why or why not .

Answers

Answer:

It is equal

Step-by-step explanation:

Because if you simplify 2/4 it will be 1/2 so 1/2 is just a simplified version of 2/4

Anyone help???
Need it in 3 minnn thank you

Answers

Answer:

The lamp would cost $39.36

Answer:

it is probably like around but im not sure if this is the answer but i think its like 50-60

Step-by-step explanation:

i said this because if it was at 80, and  there was a discount of 20%, it will probably go down in some dollars, like 70. and there was a 40% discount and that can probably make it go down to like my answer which was 50-60, but im not really sure if it is the answer  

find the height of a with a cone with a diameter of 22 m whose volume is 113 m3.

Answers

Answer:

h=0.89

Step-by-step explanation:

Given

Diameter=22m

so radius=11m

Volume=113m^3

Solution

1/3πr^2h=113

1/3×3.14×11×11h=113

h=113×3/3.14×11×11

h=0.89

So the value of h is 0.89

Answer:

it's 3 m

Step-by-step explanation:

Hold on i think it right just got to check on my test ok yes it is a 100% right

A trust is an agreement whereby a person or bank manages the estate according to the specific directions of the owner of the estate. True False

Answers

Answer:

false

Step-by-step explanation:

No its held ny you or someone else

Answer:

False

Step-by-step explanation:

What value of n makes the equation true?
1/2(n + + 4) = 6
4,2,8,-1

Answers

Answer:

8

Step-by-step explanation:

What is the combined length of all the pieces Meg measured?

Answers

Answer:

The combined length is 61 inches

Step-by-step explanation:

Answer:

The combined length is 61 inches

What is the measure of ZLMQ?

Answers

i don’t have no clue why don’t you ask somebody else

What are the polar coordinates of the complex number -23i?​

Answers

Please markme as Brainliest .......

What is the square root of -1?

Answers

Simply, it cannot be done

You can’t find the square root of a negative number, but you can call this imaginary or i

The square root of -1=i

1 point
Francis heard that a car stereo system was on sale for 30% off. If the sale price was $57.75, what was the original price of the stereo?

Answers

Answer:

The original price of the sterio was $82.50

At Choo Choo Mike's toy store, there are 100 toys that are randomly selected. Out of those 100, 12 of them are defective. What is the probability if you randomly choose three toys that two of them are defective?

Answers

Answer:

12/100 is the defective rate

so 12/100*12/100*(1-12/100

Step-by-step explanation:

6. A recent Gallop poll showed Trump's approval rating 40% with a margin or error of 3%.
a) Find the confidence interval,
c) Does the confidence interval support that more than 50% of Americans approve of
Trump? Why or why not?

Answers

Answer:

Explained below.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm MOE[/tex]

Given:

[tex]\hat p=0.40\\MOE=0.03[/tex]

(a)

Compute the confidence interval as follows:

[tex]CI=\hat p\pm MOE[/tex]

     [tex]=0.40\pm0.03\\\\=(0.37, 0.43)[/tex]

(b)

Since the confidence interval consists of values less than 50%, it implies that there is not enough evidence to suggest that more than 50% of Americans approve of Trump.

Evaluate 5x-3y when x=7 y=1/3

Answers

Answer:

34

Step-by-step explanation:

(5*7)-(3*1/3) =

35-1 = 34

Answer:

34

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

5x - 3y

x = 7

y = 1/3

Step 2: Evaluate

Substitute:                    5(7) - 3(1/3)Multiply:                        35 - 1Subtract:                       34

A zoo maintains a small patch of bamboo, which it grows as a food supply for its pandas. Four weeks ago, the bamboo was 10 ft 7 in tall. Since then, the bamboo has grown 5ft 12 in. How tall is the bamboo now ?
bamboo has grown 5 ft 12 in. How tall is the bamboo now?

Answers

Answer:

16 feet and 7 inches

Step-by-step explanation:

To find how tall the bamboo is now, first add the number of feet together:

10 + 5

= 15

Then, add the inches:

7 + 12

= 19

This can be converted to 1 foot and 7 inches.

Then, add 15 to this:

= 16 feet and 7 inches

So, the bamboo is now 16 feet and 7 inches tall

The current height of the bamboo is given as 16 feet 7 inches tall.

Given that,
A zoo maintains a small patch of bamboo, which it grows as a food supply for its pandas. Four weeks ago, the bamboo was 10 ft 7 in tall. Since then, the bamboo has grown 5ft 12 in.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
4 weeks ago the height of the bamboo = 10 ft 7 in
It increase by 5 ft 12 or 6 ft since then
Current height  = 10.7 + 6 = 16.7 or 16 ft 7 in

Thus, the current height of the bamboo is given as 16 feet 7 inches tall.

Learn more about arithmetic here:

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help me plzzzzzzzzZz

Answers

Answer:

yes

Step-by-step explanation:

congruent means  identical in form

Help you will get brainliest

Answers

I think B or C most likely B

God bless!! <3

Write this equation in standard form: (4, -1) m = 3

Answers

Standard form looks like this: Ax + By = C.

y - (-1) = 3(x - 4)

y + 1 = 3x - 12

y = 3x - 12 - 1

y = 3x + 13

Move 13 to left side and y to right side.

-13 = 3x - y

Done!

The ratio of boys to girls at JOMS is 3 to 4. If there are 45 boys how many girls are there

Answers

Answer:

60...................

11. Sarah bought 4 pounds of peaches and
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6
pounds of peaches did she buy than apples?
2

Answers

Answer:

3

Step-by-step explanation:

4 - 1 = 3 Therefore, Sarah bought 3 more pounds of peaches then she did apples.

Which expression is equivalent to |-5|+|3|?

Answers

Answer:

5 + 3

Step-by-step explanation:

|?| just means absolute value, which is distance from zero.

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