answer without referring back to the text. fill in the blank. for the method of undetermined coefficients, the assumed form of the particular solution yp for y'' − y' = 7 + ex is yp =

Answers

Answer 1

[tex]yp = Ae^x + Be^-x + Cx + D + Ex^2[/tex] is the assumed form of the particular solution for differential equation.

This is the assumed form of the particular solution for the differential equation [tex]y'' - y' = 7 + ex[/tex] using the method of undetermined coefficients. The coefficients A, B, C, D, and E are determined by substituting this form into the equation and solving for them.

A differential equation is a type of mathematical equation that explains how a function and its derivatives relate to one another. It is used to model a variety of physical events, including motion, growth, and decay, and it involves one or more derivatives of an unknown function. Differential equations can be categorised based on their order, which refers to the equation's highest order derivative. Depending on whether they incorporate one or more independent variables, they can also be categorised as ordinary or partial. Differential equations are a crucial component of the mathematical toolbox for modelling and analysing complicated systems and are utilised in many disciplines, including physics, engineering, economics, and biology.

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Related Questions

HELP I NEED HELP ASAP

Answers

Answer:

d.

Step-by-step explanation:

Answer:

option c I guess - "It increases exponentially "

4 _ (3 _ 2) _ 6 _ 1 = 14 Please help ill give you brainly!

Answers

4x(3+2)-6x1= 14 is the answer

HELPP PLSSSS Im failing school :(

Answers

Answer:

D.540

if im wrong sorry

Step-by-step explanation:

Answer this question and you get brainiest? Also 85 points so answer it correctly and it’s all yours btw i put the picture up so you can answer it . Thanks

Answers

Answer:

114

Step-by-step explanation:

those angles are supplementary meaning that they will add up to 180. 180-66=114 so x=114

Ten people put 63 boxes on a red truck and 38 boxes on a blue track About how many boxes did they load in all

Answers

Answer:

63+38=101

Step-by-step explanation:

9x -7u > 9x -21u
solve please :)

Answers

Answer:

(-∞,∞) is your answer sorry if it looks like a face

Step-by-step explanation:

- (cd2 + 4c + 21)

simplify it?

Answers

Answer: = -cd^2 - 4c - 21

Step-by-step explanation:

It‘s suppose to read negative cd the 2 is squared - 4c - 21

!BRAINLIST! please help me with this QUICK!

Answers

Answer:

Corresponding

Co-interior

None

Alternate exterior

Alternate interior

Corresponding

Write the expression in expanded form (1 + 3b)(6)

Answers

Answer:

Answer Expert Verified

4.0/5

170

nikitasingh79

Genius

15.5K answers

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Identity:

An identity is an equality which is true for all values of a variable in the equality.

(a + b)³ = a³+ b³+ 3ab(a + b)

In an identity the right hand side expression is called expanded form of the left hand side expression.

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

Solution:

(i) (2x + 1)³

Using identity

(a + b)³ = a³+ b³+ 3ab(a + b)

(2x + 1)³

= (2x)³ + 1³ + (3×2x×1)(2x + 1)

= 8x³+ 1 + 6x(2x + 1)

= 8x³ + 1 + 12x² + 6x

(ii) (2a – 3b)³

Using identity,

(a – b)³ = a³–b³ – 3ab(a – b)

(2a – 3b)³ = (2a)³– (3b)³ – (3×2a×3b)(2a – 3b)

=8a³–27b³–18ab(2a –3b)

= 8a³–27b³–36a²b + 54ab²

(iii) [3x/2  + 1]³

Using identity,

(a + b)³ = a³+ b³+ 3ab(a + b)

[3x/2 +1]³

=(3x/2)³+1³+ (3×(3x/2)×1)(3x/2+ 1)

=27x³/8+1+9/2x×(3x/2+1)

= 27x³/8 + 1 + 27/4 x² + 9/2x

= (27/8)x³ + (27/4) x² + 9/2 x + 1

(iv) [x–2/3 y]³

Using identity,

(a - b)³=a³-b³-3ab(a-b)

(X+ 2/3y)³

= (x)³–(2/3 y)³– (3×x×2/3 y)(x – 2/3 y)

= x³– 8y³/27–2xy(x – 2/3 y)

= x³– (8/27)y³–2x²y+ 4/3xy²

=========================================================

Hope this will help you....

Step-by-step explanation:

find the value of x

Answers

Answer:

x=32

Step-by-step explanation:

52=whatever angle x+20 is.

At a sale, coats were sold for 82% of their original price. If the coats originally cost $200 each, how much did a coat cost on sale?

Answers

164

Step-by-step explanation:

The solution is,  a coat cost on sale =  $164.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

At a sale, coats were sold for 82% of their original price.

If the coats originally cost $200 each,

so, a coat cost on sale = $200* 82%

                                     =$164

Hence, The solution is,  a coat cost on sale =  $164.

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b-3/15=1 What does b equal??

Answers

Answer:

1 3/15

Step-by-step explanation:

All you have to do is add 3/15 to both sides of the equation:

b - 3/15 = 1

b = 1 3/15

5/16 + 7/16 (simpfiy it )

Answers

It’s 12/16 which simplify to 3/4
Answer:3/4Step-by-step explanation:5 + 7 = 1212/16 Divide by 412 ÷ 4 = 316 ÷ 4 = 4Final Answer = 3/4Hope this helps!!♥︎

angle (the question mark), (Write the
number only)
?
77
124°

Answers

47. my answer needs to be at least 20 characters long there u go

Answer:

49

Step-by-step explanation:

77+49 = 124

Which expressions are equivalent to 56x + 24 divided by 8?


A.7x + 24


B.56x + 24

8


C. 8(24 + 56x)


D.3x + 7


F.3 + 7x

Answers

The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (56x + 24) / 8

Simplify the expression, then we have

⇒ (56x + 24) / 8

⇒ (56/8)x + 24/8

⇒ 7x + 3

The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.

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An expression equivalent to 56x + 24 divided by 8 is 3x+7. So, option F. is correct.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given the following expression:

56x + 24

It is required to divide the given expression by 8,

Thus, dividing the expression by 8 as follows:

[tex]\dfrac{56x+24}{8}\\\\\dfrac{56x}{8}+\dfrac{24}{8}\\\\7x+3[/tex]

Thus, 3+7x is the expression equivalent to 56x + 24 divided by 8. So, option F is correct.

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A right circular cylinder is 3m high and the circumference of its base is 22m. Find its curved surface area.​

Answers

Answer:

height of cylinder =3m

circumference =22m

curved surface area=2×pi×radius×height

curved surface area =22m×3m

curved surface area =66m²

please answer correctly and quickly

Answers

Answer:

#6:10

Step-by-step explanation:

Answer:

#9 is x=14

#7 is C 138

#6 is x=10

#5 is p=40

Two balls are picked in succession without replacement -4 white balls and 5 green balls let Y be the random representing the number of green balls. Find the value of the random variable Y.

Answers

Answer:

If Y represents the number of green balls then it can have values from 0- 5

that is it can have all the value  0,1,2,3,4 and 5.

The probability of getting both balss green without replacement is 0.27778

Step-by-step explanation:

If the balls are not replaced then this is the dependent event .

The probability of getting the first ball is given be = 5/9

where 5 is the number of green balls and 9 is the total number of balls.

The probability of getting the second ball green given that first is also green is  = 5/9* 4/8= 20/72= 0.2778

If Y represents the number of green balls then it can have values from 0- 5

that is it can have all the value  0,1,2,3,4 and 5.

0 means there can be no green balls or white balls.

1 means there can be one green ball.

2 means there can be 2 green balls and so on.

In this exercise we have to use the knowledge of probability to calculate the chance of an event to occur, so you have to:

the chance of the event is 0.2778%

So organizing the information given in the statement is:

If the balls are not replaced then this is the dependent event .The probability of getting the first ball is given be = 5/95 is the number of green balls and 9 is the total number of balls.

So with this information we can write that:

[tex]5/9* 4/8= 20/72= 0.2778[/tex]

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Can someone help me please. I have to show my work.

Answers

Answer:

Step-by-step explanation:

1. P = (width + lengh) * 2 = (23 + 10) * 2 = 33 * 2 = 66

  A = width * lengh = 23 * 10 = 230

2. width = 7

 P = (width + lengh) * 2 = ( 7 + 9) * 2 = 16 * 2 = 32

Answer:

4. area= 230cm^2 perimeter= 66cm

5. width= 7m  perimeter= 32m

Step-by-step explanation:

4. a = w*l

23cm*10cm=230cm^2

p= add all sides

23cm+23cm+10cm+10cm=66cm

5. w= a/l

63m^2/9m=7m

p= add all sides

7m+7m+9m+9m=32m

What is 25% of 160?
Instructions
100 of 100 words remaining
BUI EEE Tv
b. What is 39 of 2007
Instructions
100 watt
Done and Review
2021

Answers

first answer is 40. u use is/of and divide second is 782.73

Answer:

I have no idea what ur saying

Step-by-step explanation:

Sam complete 3 math problems in 8 minutes. How long will it take to do 15 problems?

Answers

Answer:

40 minutes

Step-by-step explanation:

 Math Problems                   3              15

 ----------------------                  -----     =    ------

       Minutes                          8              x

                                             3x = 15 * 8

                                               x = 15 * 8 / 3

                                               x = 120 / 3

                                               x = 40

                                                  40 Minutes

How many solutions does this equation have?
4v = 6v − 2v

no solution
one solution
Infinitely many solutions

Answers

Answer:

Infinitely many solutions.

Step-by-step explanation:

4v=6v-2v  Combine like terms.

4v=4v       These are already equal without diving, so there are infinitely many solutions.

Hope this helps and have a nice day ❤

Answer:

Infinitely many solutions

Step-by-step explanation:

4v=6v-2v

4v=4v

when two expressions on opposite sides of an equals sign are equivalent, that means there are infinitely many solutions

P.S. Please mark me Brainliest if it is correct.

Но
How much does each bead necklace cost?
You can buy a 35-pound box of beads for $43.95.
A 35-pound box of beads contains 30 bags of 12
necklaces each.
Step 1: How many necklaces are in a box?

Answers

360 because you would do 30 bags x 12 necklaces

B, the correct answer is B

i need help with this anyone pleaseee

Answers

Answer:

41 dollars

Step-by-step explanation:

3r+2.5p is the cost of roses and petunias, just  number of roses as r and petunias as p:

3(7) + 2.5(8)=

21+20=41 dollars

Given the sequence 24, 12, 6, 3......., where x = 1, 2, 3, 4, .........What is the first term? 24 12 6 3

Answers

Answer:

24

Step-by-step explanation:

The first term of any sequence is the term of the sequence that comes first.

Given the sequence of numbers 24, 12, 6, 3...

We can see that the number that comes first is 24. Hence the first term of the given sequence will be 24

Find an equation for line L, M, N, and P *

Answers

can you include an photo of the problem?

HELP AND WILL GIVE BRAINLIEST!!! Solve for x for the image below

Answers

Answer:

umm x=30

Step-by-step explanation:

Answer:

x=22

Step-by-step explanation:

All angles in a triangle add up to 180 degree.

180-(6x-7) = the supplementary angle inside the upper left corner.

180-(6x-7)+2x+(103-x) = 180

180-6x+7+2x+103-x = 180

reduce

-5x = -110

-5x/-5 = -110/-5

x=22

you can check by using the values of x

What errors did her coach make in the following example

Answers

Answer:

its the last one & the 3rd one.

hope that helps

Canada was once a British colony. Based on the information presented in the movie, what can you infer about Canada?

Answers

Answer:

In 1763, Canada formally became part of British Empire. The colony of Canada was enlarged under the province of Quebec.

Step-by-step explanation:

Modern day Canadian province was once British Colony. In 1949, Newfoundland became part of Canada instead of British Colony. The information presented in the movie is about the British Empire that governed the Canadians. After the free from British rule Canada was free to act in his own way in the country. The country also gained financial independence.

hii please help i’ll give brainliest if you give a correct answer!

Answers

Answer:

8 and 1/4 cups sugar is your answer. In 5 and 1/3 cups is 8 and 1/4 cups sugar.

Step-by-step explanation:

Brainly please hope this is correct please tell me if I wrong.

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