9y''-12y'+4y=0 y1=e^2x/3 by Reduction Order

Answers

Answer 1

Answer:

[tex]9 \frac{ {d}^{2}y }{ {dx}^{2} } - 12 \frac{dy}{dx} + 4y = 0) \div 9 \\ \frac{ {d}^{2}y }{ {dx}^{2} } - \frac{4}{3} \frac{dy}{dx} + \frac{4}{9} y = 0 \\ y_{1}(x) = {e}^{ \frac{2}{3} x} \\ p(x) = - \frac{4}{3} \\ y_{2}(x) = y_{1}(x) \int \frac{ {e}^{ - \int \: p(x)dx} }{ {(y_{1}(x))}^{2} } dx \\ = {e}^{ \frac{2}{3} x} \int \frac{ {e}^{ \int \: \frac{4}{3} dx} }{ { ({e}^{ \frac{2}{3} x})}^{2} } dx \\= {e}^{ \frac{2}{3} x} \int \frac{ {e}^{ \frac{4}{3} x} }{ { {e}^{ \frac{4}{3} x}}} dx \\ = {e}^{ \frac{2}{3} x} \int dx \\ \boxed{y_{2}(x) =x{e}^{ \frac{2}{3} x}}[/tex]


Related Questions

1. Which answer choice best describes an exponent? (Circle the correct letter.)
A. It is a number with 2 factors.
B. It is a number that is to be multiplied by the base number.
C. It is a number that tells how many equal factors there are.
D. It is a common factor to both numbers involved.
Which one

Answers

9514 1404 393

Answer:

  C. It is a number that tells how many equal factors there are

Step-by-step explanation:

Just as a coefficient tells you how many times a value appears in a sum, an exponent tells you how many times a value appears in a product.

The exponent ...

  ... is a number that tells how many equal factors there are

y=30x+25
how do you graph it?

Answers

Answer:

Step-by-step explanation:

Answer:

the slope is (0,25) and the y-intercept is 30

so plot the points (0,25) & (1,55)

Step-by-step explanation:

its should look like this (i promise its a pic and not one of those dum links lol)

Solve the system of equations 4x+3y=3 and y=2x+6.

Answers

Answer:

Step-by-step explanation:

4x+3y=3

y=2x+6

4x+3(2x+6)=3

4x+6x+18=3

10x=3-18

10x=-15

x=-15/10=-1.5

y=2(-1.5)+6

y=-3+6

y=3

4×+3y=3
V=2x+6
4x+3(2x+6) =3
4×+6x+18=3
10x=3-18
10x=-15
x=-15/10=-1.5
y=2(-1.5) +6
V=-3+6
y=3

Pat's soccer team has 15 players. 2
3
of the players went out for frozen yogurt after their last win. How many players went out for yogurt?

Answers

Answer:

10

Step-by-step explanation:

it worked for me on my School

Answer:

10

Step-by-step explanation:

this really works try it.

PLEASE HELP ILL MARK BRAINLIEST AND SHOW ALL YOUR WORK

Answers

F(1/2) for f(x)=-3x^3+2x^2

STEP BY STEP EXPLAINATION:

Plug it in:
F(1/2)=-3(1/2)^3+2(1/2)^2

F(1/2)=3/8+1/2


Add

3/8+1/2=7/8

ANSWER


7/8

Answer:

1/8

Step-by-step explanation:

f(1/2) = -3(1/2)^3 + 2(1/2)^2

f(1/2) = -3(1/8) + 2(1/4)

f(1/2) = -3/8 + 1/2

f(1/2) = 1/8

Hope this helps! Pls give brainliest!

If 4 is added to 3 times a number “a” the result is 16. What is the number?

Answers

Answer:

4

Step-by-step explanation:

4+3a=16

-4. -4

3a=12

/3. /3

a=4

the table shows amounts earned for pet sitting. how much is earned after a 9-day job

Answers

Answer:

There's no table, can you add a photo (I'll answer it when you add it)

Step-by-step explanation:



A sugar solution with a mass of 200 grams has a percent by mass concentration of 25%.

Answers

Answer:

1 million brothers i have in my family

Evaluate -30 divided by
-6. (1 point)
G
5
5
C
6
Od

Answers

Answer:

5

Step-by-step explanation:

-30÷(-6) is the same as 30÷6

30÷6=5

Answer:

5

Step-by-step explanation:

ignore any negative sign for now.

30÷6

We can divide 30 items evenly into 5 groups of 6.

Now consider the signs. Two negatives make a positive.

−30,−6→Positive

 

=5

9s4t3w ÷ 36s2t5
simplify as a single fraction

Answers

Answer:

[tex] \frac{3}{10w} [/tex]

Step-by-step explanation:

[tex] = \frac{9s4t3w}{36s2t5} [/tex]

simplifying you obtain the answer above

please help me i’ll give brainlist to you

Answers

-10, -8, -3, 0, 2. Please give Brainliest

Answer:

0,-3,-8,-10,2

Step-by-step explanation:

0,-3,-8,-10,2 PLEASE GIVE MY 5 STARS thank you ❤

What is tan C?
А.
11
B
22
Enter your answer in the box. Express your answer as a simplified fraction.
tan C=
B

Answers

Answer:

Tan C = opp/adj

Tan C = 22/11

Bag A contains 7x counters.
Bag B contains 2x counters.
Five counters are taken from bag A and put in bag B.
Write an expression, in terms of x, for the number of counters now in bag B.

Answers

Bag B= 2x-5. Glad I could help

1/4a + 4b
a = -7 b = 0

Answers

9514 1404 393

Answer:

  -7/4

Step-by-step explanation:

If you want to evaluate the expression for the given values of the variables, put the variable value in its corresponding place in the expression and do the arithmetic.

  1/4a +4b

  = 1/4(-7) +4(0)

  = -7/4 +0 = -7/4

A.
Find the value of x
(80-x)
3x*

Answers

Answer:

x=80/3

Step-by-step explanation:

80=3x

80/3=3x/3

3's cancel out so you are left with x on the right

80/3 gives you a decimal so you can just leave it in fraction form

19) The supplement of an angle is 24° more than
the angle. What is the measure of the angle?
1) 7.50 2) 66°
3) 78°
4) 33°

Answers

9514 1404 393

Answer:

  3)  78°

Step-by-step explanation:

Let x represent the angle. Then 180-x is its supplement, and the difference is ...

  (180 -x) -x = 24

  90 -x = 12 . . . . . . . divide by 2

  x = 90 -12 = 78 . . . . degrees

The measure of the angle is 78°.

plz answer this right what is[tex]−2(12−2(−4))x^{2}[/tex]

Answers

Answer:

-40x^2, first multiply -2(-4), this is 8 and sum with 12 and this is 20, finally mutiply by -2

Please Help! I will give you a lot of points!

Answers

#1

(56,7) is the co-ordinate of point B.

#2

(56,7)

It means that the ball has travelled 56yards .it is at the height of 7ft.

10. What is the solution of 2x + 11 = 51?

Answers

Answer: The area of a circular trampoline is 108.94 square feet. What is the radius of the trampoline? Round to the nearest hundredth.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

2x20=40, 40+11=51

A large cargo ship dropped anchor in the ocean. The anchor was released at a constant rate rate of speed from a height of 44 meters

Answers

Answer:

C and E

Step-by-step explanation:

The change in elevation was 44 + 20 = 64 m

the rate of fall was 64 m / 32 s = 2 m/s

The anchor reached the surface in 44 / 2 = 22 s so C is valid

E is correct as the ocean surface is origin and Up is the positive direction.

The anchor starts at 44 m above the surface and position is lower by 2 meters every second

From the question, the two correct options about the speed with which the anchor was released are:

Option COption E

How to solve for the solution

First we have to calculate the change that occurred in the elevation. Initially it was 44 meters but dropped 20 m below water.

44 + 20 = 64 meters

Next we calculate the rate with which the fall occurred

The time with which it fell was 32 seconds. = 64/32 = 2 meters pers second

44/2 = 22 hence it can be concluded that C is right.

Option E is also correct given that the water surface is above the ground and it is positive

Read more on distance here: https://brainly.com/question/2854969

Differentiate the function h(x) using the quotient rule.
h(x) =2x+5 /2--x

Answers

[tex]h'(x)=\frac{\frac{d}{dx}[2x+5] (2-x)-\frac{d}{dx}[2-x](2x+5) }{(2-x)^2}\\=\frac{2(2-x)-(-1)(2x+5)}{(2-x)^2} \\=\frac{4-2x+2x+5}{(2-x)^2}\\=\frac{9}{(2-x)^2} \\=\frac{9}{x^2-4x+4}[/tex]

Susanne runs a bakery. Five years ago the bakery sold 224 loaves of bread each day. Today they sell 329 loaves each day. What percent of increase in the number of loaves sold each day?

The percent of increase is %
(type a whole number or a decimal)​

Answers


224-329/224=
46.875% increase

Answer:

46.875% - (rounded answers shown below)

Step-by-step explanation:

Percent increase can be calculated by this formula:

(new-original)/original * 100.

In this problem, the 'new' value is 329 because it is the large value and is the more recent out of the two values. Therefore, the 'original' value is 224, because it is the value that is less recent than 329.

So, plugging this into the formula, (329-224)/224. This becomes 105/224, which is 0.46875. We multiply this by 100, and the value then becomes 46.875.

If you want to round this percent, it becomes 47% (whole number) or 46.9% (decimal rounded to the nearest tenth)

If 23×23=529 then qhat ks 2.3×0.23​

Answers

Answer:

0.529

Step-by-step explanation:

1) Use the algorithm method.

       2    .     3

+  0   .    2    3

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

0 .    0   6    9

0 .   4   6  0

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

                 1

0.    5  2  9

2) Therefore, 2.3 × 0.23 = 0.529.

0.529

The speed of a bus weighing 2000 kg increases from 50 mls to 60 m/s in 4 s. Calculate the change in its momentum and the Force applied on it

Answers

Answer:

Momentum = 20 000 kgm/s

Force applied = 5000 N

Step-by-step explanation:

Momentum = Mass * Velocity

= 2000 kg * 10 m/s

= 20 000 kgm/s

Force = Mass * Acceleration

Acceleration = v - u / t

= 60-50/4

= 10/4

= 2.5 m/s^2

F = m*a

= 2000 * 2.5

= 5 000 N

here's the question ...........

Answers

Answer:

x intercept -7 and y intercept is 9

A line passes through point (8,-9) and has a slope of
5/4
Write an equation in Ax+By = C form for this line.
Use integers for A, B, and C.

Answers

9514 1404 393

Answer:

  5x -4y = 76

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For the given point and slope, this equation is ...

  y -(-9) = 5/4(x -8)

Multiplying by 4 gives ...

  4y +36 = 5x -40

Subttracting 4y and adding 40 puts this into the desired form.

  5x -4y = 76

hello there

im looking for help here. giving brainliest if able to.

Find the volume of a box with the following measurements:

l=6cm

w=4cm



h=10 cm


1: 20 cm2

2: 20 cm

3: 240 cm2

4: 20 cm3

5: 240 cm

6:
240 cm3

Answers

Answer:

4: 20 cm3

Step-by-step explanation:

6 x 4 = 24

24 x 10 = 240

it is cubic since it is volume

Answer: 6

Step-by-step explanation:

4 x 6 = 24

24 x 10 = 240

So the total volume is 240, but without the units it could mean anything. 240 inches or cows, so we have to add cm, but this number could also mean any measurement of centimeters, length, area, perimeter, so we add the 3 to get

240cm3

the 3 is the symbol for cubed, meaning it's measuring the volume of a three dimensional area.

Write an equation where the slope is 4/5 and a point of (-3,2)

Answers

Answer:

y=4/5x+22/5

Step-by-step explanation:

Using point-slope form!

3
Question 2 (1 point)
The frequency of color blindness (dyschromatopsia) in the Caucasian American male
population is estimated to be about 8%. Let's call X the number of color-blind
individuals in a random sample of 8 Caucasian American males. The table gives the
probability distribution for X.
3
What is the mean of this distribution?
0
1
2
3
4
Х
P(X)
טן ס
0.513
0.357
0.109
0.019
0.002
2

Answers

Using the mean concept, it is found that the mean of the distribution is of 0.64.

The mean of a probability distribution is given by the sum of each outcome multiplied by it's probability.

In this problem, the probability of each outcome is given by:

[tex]P(X = 0) = 0.513[/tex]

[tex]P(X = 1) = 0.357[/tex]

[tex]P(X = 2) = 0.109[/tex]

[tex]P(X = 3) = 0.019[/tex]

[tex]P(X = 4) = 0.002[/tex]

The, the mean is:

[tex]E(X) = 0.513(0) + 0.357(1) + 0.109(2) + 0.019(3) + 0.002(4) = 0.64[/tex]

The mean of this distribution is 0.64.

A similar problem is given at https://brainly.com/question/24146527

I
3. Anayah is playing a game. She started with 10 points. In the first round she
lost 20 points. In the second round she won 45 points. Which of the
following shows the changes in Anayah scores?
a) 10 - 20 +45
b) 10 - 20 – 45
c) -10 - 20 + 45
d) -10 – 20 - 45

Answers

Answer:

A.

Step-by-step explanation:

It's set up exactly as it is said. She starts with 10 points automatically so you would put:

10

Then it says that she lost 20 points. Losing is subtraction. You would add this to the equation:

10-20

Then it says she won 45 points. Winning is addition. You would add this to the equation:

10-20+45

This equation matches up with A. thus A. being the correct answer. If they ask for the answer, it is 35 by the way. Hope this helps!

a) 10 - 20 +45

Step-by-step explanation:

Is known :

She started with 10 points.

In the first round she lost 20 points.

In the second round she won 45 points.

Asked :

Which of the following shows the changes in Anayah scores?

Aswered :

She started with 10 points - In the first round she lost 20 points + In the second round she won 45 points

= 10 - 20 + 45

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