First verify that y(x)y(x) satisfies the given differential equation. Then determine a value of the constant CC so that y(x)y(x) satisfies the given initial condition. Use a computer or graphing calculator (if desired) to sketch several typical solutions of the given differential equation, and highlight the one that satisfies the given initial condition.
x dy/dx+3y=2x5; y(x)=1/4 x5+Cx−3,y(2)=1

Answers

Answer 1

Answer:

at constant C = -56 satisfies the given condition of y(x)

Step-by-step explanation:

differentiate y(x) w.r.t.x

[tex]y' (x ) = \frac{d}{dx} (\frac{1}{4} x^5 +Cx^{-3} )[/tex]

        = [tex]\frac{1}{4}\frac{d}{dx} (x^5) + C\frac{d}{dx} (x^{-3} )[/tex]

        = [tex]\frac{5}{4} x^4 - 3Cx^{-4}[/tex]

attached is the remaining part of the detailed solution and the sketch of the several typical solutions

First Verify That Y(x)y(x) Satisfies The Given Differential Equation. Then Determine A Value Of The Constant
First Verify That Y(x)y(x) Satisfies The Given Differential Equation. Then Determine A Value Of The Constant

Related Questions

Help me pls pls pls

Answers

Answer:

Equivalent

Step-by-step explanation:

2(x-3)

2 times x=2x-3

So equal

Answer:

They are not equivalent

Step-by-step explanation:

Because when in the "()" you have to multiply each of the numbers in the bars!!

Each marble bag sold by Yoko's Marble Company contains 5 orange marbles for every 6 blue marbles. If a
bag has 40 orange marbles, how many blue marbles does it contain?

Answers

Answer:

48 blue marbles

Step-by-step explanation:

'b' = # blue marbles

5/40 = 6/b

5b = 240

b = 48

Given |u| = 8, |v| = 6, and the angle between is θ = 40°, find the approximate value of u · v. 10.72 14.77 36.77 48.77

Answer: 36.77

Answers

C) 36.77

It is indeed correct on Edge 2021

Answer:

C

Step-by-step explanation:

Edge 2021

You are given the task of building detention ponds to remove settleable solids from a small stream prior to discharge into a lake. The ponds must be 2 m deep, the flow in the stream is 20 cfs, the solids settle at a rate of 0.2 m/day, and you must achieve a steady-state removal of 65% of the solids.
a. Determine the size of a single CSTR to achieve the desired removal.
b. Determine the sizes of a pair of identical CSTRs in series needed to achieve the desired removal.

Answers

Answer:

a) 513775.5 m^3  ≈ 51.38 * 10^4 m^3

b)  256887.75 m^3 ≈ 25.69 * 10^4 m^3

Step-by-step explanation:

Given data :

Depth of pond = 2m

flow in the stream = 20 cfs = 4.8931 * 10^4 m^3/day

settling rate = 0.2 m/day

rate constant ( k )= 0.2 / 2 = 0.1 / day

steady-state removal of the solids required = 65%

A) determine size of a single CSTR to achieve 65%

First determine the time required to achieve this using the relation below

C = [tex]c_{o} e^{-kt}[/tex]

∴ t = [tex]\frac{-1}{k}* ln( 1 - 0.65 )[/tex]

     = ( -1 / 0.1 ) * (- 1.05 ) = 10.5 day

The size of a single CSTR required = ( 4.8931*10^4 ) * (10.5 ) = 513775.5 m^3

B) determine the sizes of a pair of identical CSTRs in series needed to achieve the desired removal

sizes of a pair = 513775.5 / 2 = 256887.75 m^3


Find the distance between A and B.

Ahh I need help

Answers

what are the options please ?

PLEASE HELP ASAP!!!!!!! LOTS OF POINTS. WILL GIVE BRAINLIEST
1. Is A'B'C'D' a translation, rotation, or reflection of ABCD? Explain how you can tell.

2. Is A"B"C"D" a translation, rotation, or reflection of A'B'C'D'? Explain.

3. Suppose the measure of ∠B is 89°. Which other angles must measure 89°? How do you know?

4. What is the perimeter of A"B"C"D"? Explain how you found the perimeter.

Answers

Answer:

I will check back in on this answer im figuring out what the answer is rn

Step-by-step explanation:

Answer:

1. Yes It is a reflection because it’s mirrored across the y-axis.

2. That is a rotation

3. If b is 89 degress. than C should be because of the postions they're in.

4. The perimeter is 26.3.

Are they Equivalent why or why not?

Answers

They are equivalent because when you distribute the -0.5 into 3x+5 you get the expression -1.5x+2.5

Answer:

They are equivalent because when you distribute the -0.5 into 3x+5 you get the expression -1.5x+2.5

50 points! Mhanifa please answer I will mark brainliest

Answers

Answer:

C. OBTUSE

Step-by-step explanation:

2. Paris was the son of the king and queen of Troy. When he was born, his mother dreamed that she was giving birth to a flaming torch. Fearful that this was a bad omen, King Priam ordered that the child be left on a hillside to die.

the answer is a. There is 1 as a right angle.

Which is greater -8.3 or -8.4

Answers

-8.3 is greater because when you go down a number line, negative numbers increase eg: -1 would be greater than -2. hope that makes sense

HELPPPPP PLSSSSSSSS!

Answers

Answer:

a8 12 16 b.5 65  3

Step-by-step explanation:

ere

3/4 of a class are girls. 1/3 of the girls wear bows in their hair. What fraction of the class are girls with bows in her hair

Answers

Answer:

Step-by-step explanation:

1/3 * 3/4 = 1/4

Find the value of x
A)108
B)88
C)120
D)95

Answers

Answer:

108

Step-by-step explanation:

x is the same angle as the other angle shown, but the triangle reverses itself

(if you look closely you can tell)

find the product. (y+4)(y-1)

Answers

Answer:

y^2+3y-4

Step-by-step explanation:

Use FOIL

Hope I helped!

Answer:

[tex]yx^{2} + 3y -4[/tex]

Step-by-step explanation:

Hope this helps! <3

4. The costs of different sizes of bottled sport drink are shown. Which bottle costs the least per ounce?
Size
8 oz
16 oz
24 oz
32 oz
Price
$0.89
$1.09
$1.89
$2.39
A. The 8 oz bottle
B. The 16 oz bottle
C. The 24 oz bottle
D. The 32 oz bottle

Answers

I think it is the 16 oz bottle because it is only 6.8 cents per oz but I’m not positive sorry for not helping that much

the sum of 9/10 and 5/6​

Answers

Answer:

Step-by-step explanation:

9/10+5/6 =

27/30+25/30 =

52/30 = 1 22/30 =1 11/15

Answer: 26/15

Step-by-step explanation:

1. First find the common denominator, which is 30

2. Add them

3. Simplify (common factor of 2)

[tex]\frac{27}{30} + \frac{25}{30} \\\\\frac{52}{30} \\\\\\\frac{26}{15}[/tex]

Which graph displays the solution to the system of equations shown?

Answers

We need the system of equations and a picture of the graphs

Hiro rolls a fair pair of six-sided dice. The sample space of all possible outcomes is shown below.
Let AAA be the event that the first die is one and BBB be the event that the sum of the dice is eight.
What is P(A\text{ or }B)P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that the first die is one or the sum of the dice is eight?
\qquad

Answers

Answer: [tex]\dfrac{11}{36}[/tex]

Step-by-step explanation:

Total outcomes for rolling a pair of six-sided dice n(S)= 6 x 6 =36

Let A be the event that the first die is one and B be the event that the sum of the dice is eight.

A = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)}

P(A)= [tex]=\dfrac{n(A)}{n(S)}=\dfrac{6}{36}[/tex]

B= {(2,6), (6,2), (3,5), (5, 3), (4,4)}

P(B)= [tex]=\dfrac{n(B)}{n(S)}=\dfrac{5}{36}[/tex]

A ∩ B = Ф

P(A ∩ B)=0

P(A or B)= P(A)+P(B)+P(A∩ B)

[tex]=\dfrac{6}{36}+\dfrac{5}{36}+0\\=\dfrac{11}{36}[/tex]

Hence, P(A or B) = [tex]\dfrac{11}{36}[/tex]

Can you help me with this question?​

Answers

Answer:

Step-by-step explanation:

1. A + B

2. 9 + u - 10

3. m - 2 / 2

There are 1,600 students at a university. 24% of students are sophomores, 20% are juniors, and 28% are seniors. How many students at the university are freshmen?

Answers

Answer:

There are 448 freshmen

Step-by-step explanation:

Yesterday, there were 80 problems assigned for homework. Harry did 20% of them correctly. How many problems did Harry get right?

Answers

Answer:

16 i think

Step-by-step explanation:

Answer:16

...........................

Find the volume of the cone.
2 3 cm
2 cm
V = [?] cm3
Round to the nearest tenth.

Answers

Answer: 14.5

Step-by-step explanation:

Answer:

14.5

Step-by-step explanation:

i did it and got it right

hurry I'm timed I need the answer asap [tex]2000x9000[/tex]

Answers

Answer:

18000000

Step-by-step explanation:

2000 x 9000 = 18000000

9 x 2 = 18

there are 3 0's on the 2 and 3 0's on the 9 so we are going to add them together.

000 + 000 = 000000

put the two answer together and they equal...

18000000

Step-by-step explanation:

2000x9000=18000000is. your answer

Can someone help me find the value of N in the triangle and round the answer to two decimal places

Answers

Answer:

n ≈ 8.54

Step-by-step explanation:

Reference angle = 30°

Opposite side = n

Adjacent side = 14.8

Apply TOA, which is:

Tan 30 = opp/adj

Tan 30 = n/14.8

Multiply both sides by 14.8

14.8×tan 30 = n

8.54478398 = n

n ≈ 8.54 units (to 2 dp)

47 = 77 - b; 20, 30, 40

Answers

The answer is 30 please mark brainliest if correct

If m 2 n, which inequalities must be true? Check all that apply.
Om + 2.1 > n + 2.1
m - (-4) 2 n-(-4)
m + 3 n-3
16.5 + m > 16.5 + n
1
U
m 2 n +
U
9 + m > 6+n

Answers

Answer:

[tex](a)\ m+ 2.1 > n + 2.1[/tex]

[tex](b).\ m - (-4) > n - (-4)[/tex]

[tex](c)\ 9 +m> 6 + n[/tex]

Step-by-step explanation:

Given

[tex]m > n[/tex]

Required

Select true inequalities

[tex](a)\ m+ 2.1 > n + 2.1[/tex]

Subtract 2.1 from both sides

[tex]m > n[/tex]

This is true

[tex](b).\ m - (-4) > n - (-4)[/tex]

Open brackets

[tex]m + 4 > n + 4[/tex]

Subtract 4 from both sides

[tex]m > n[/tex]

[tex](c)\ 9 +m> 6 + n[/tex]

[tex]m> -9+6 + n[/tex]

[tex]m> n-3[/tex]

This is also true

Answer:

A,B,D

Step-by-step explanation:

A_________"slides" an object a fixed distance in a given direction *
O translation
O rotation
O reflection
O dilation​

Answers

The answer is Translation I hope this helped

Simplify the ratio 100:120

Answers

Divide both terms by the GCF, 20:
100 ÷ 20 = 5
120 ÷ 20 = 6
Therefore, the simplified ratio would be
5:6

what is the answer to this question
1/2 x -7=1/3(x-12)

Answers

Answer:

= 1 8 hope this helps!!! :)

Step-by-step explanation:

1 2 ⋅ −7 = 1 3 ( − 1 2 )

1 2 − 7 = 1 3 −1 2 )

1 2 − 7 = 1 3 − 1 2 )

Multiply by 1  

Combine multiplied terms into a single fraction  

Multiply by 1  

Add to both sides of the equation

Answer:

x = 3/2 = 1 1/2 = 1.5

Step-by-step explanation:

1/2 x -7=1/3(x-12)

Multiply 1/2 and -7 to get -7/2

-7/2 = 1/3(x-12)

Fraction -7/2 can be rewritten as -7/2 by extracting the negative sign.

- 7/2 = 1/3(x-12)

Use the distributive property to multiply 1/3 by x−12.

-7/2 = 1/3x + 1/3(-12)

Multiply 1/3 and −12 to get -12/3

-7/2 = 1/3x + -12/3

Divide −12 by 3 to get −4.

-7/2 = 1/3x + 4

Swap sides so that all variable terms are on the left hand side.

1/3x -4 = -7/2

Add 4 to both sides.

1/3x = -7/2 + 4

Convert 4 to fraction 8/2

1/3x = -7/2+8/2

Since -7/2 and 8/2 have the same denominator, add them by adding their numerators.

1/3x = -7+8/2

Add −7 and 8 to get 1.

1/3x = 1/2

Multiply both sides by 3, the reciprocal of 1/3

x = 1/2 x 3

Multiply 1/2 and 3 to get 3/2

x = 3/2

SOMEONE PLEASE HELP ME ASAP THIS IS ALMOST DUE ILL MARK BRAINLIEST!!!!

Answers

C: 668.2 ft3

~ Hope this helps!

C
Jjdjdjdhjdjdjdjdjjdjdjdj

— 3х – 6+(-1)
do anybody know this answer

Answers

Step-by-step explanation:

its -3x-6+(-1)? if yes please let me know. thanks

Answer:

x = -10

Step-by-step explanation:

First combine like terms; -6 + -1 = -7, since + a negative is just minus.  

(So -6 - 1.)  Rewrite the equation as -3x - 7.  Divide x from both sides, so

-3 - 7 = x.  Simplify into x = -10.  

I'm so sorry if I'm wrong, I hope this helps though!  

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