Find constants A and B such that the function y = A sin(x) + B cos(x) satisfies the differential equation y'' + y' − 2y = sin(x).

Answers

Answer 1

Answer:

A = - 0.3 and B = - 0.1.

Step-by-step explanation:

y(x) = A sinx + B cosx

y'(x) = A cosx - B sinx

y"(x) = -A sinx - B cos x

So, substituting we have:

y" + y' - 2y = -A sinx - B cos x + A cosx - B sinx - 2(A  sinx + B cosx)

=    -3A sin x - B sinx + A cosx  - 3B cos x = sinx

sin x (-3A - B) + cos x(A - 3B) = sin x

Since this is an identity then we equate coefficients:

-3A - B =  1

A - 3B = 0

Solving these we get A = - 0.3 and B = - 0.1.


Related Questions

can anyone help me with this?

Answers

I cant see the pic and need more information
The pic is grey dear!

Five years from now peter age will be two plus three times his current age. Identify the equation representing this situation

Answers

Answer: 5=3x+2

Step-by-step explanation:

5=3x+2

5 years from now, he will be 3x+2 his current age

in mr siegals class 15% of his students are in the scrapbooking club and 45% are in cookong club.

Answers

What is the question?

Mary can type 44 words in 2 mins. What would be equivalent to that
rate

Answers

Answer (there are different answers, but this is one of them):

22 words in 1 minute

Step-by-step explanation:

44 ÷ 2 = 222 ÷ 2 = 1Put them together: 22 words in 1 minute

I hope this helps!

Help me plz :((((( helpsssbme tyyy

Answers

Answer:

jody is 11

Step-by-step explanation:

11x2=22.

22-3=19

19+11=30

Answer:

jody is (2)11 and jody's brother is 19

Step-by-step explanation:

2x -3 + x = 30

         3x = 33

           x = 11

332/10 as an mixed number

Answers

Answer:

27 2/3

Step-by-step explanation:

Hope this helps :)

Answer: 33 & 1/5

Step-by-step explanation:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 332 by 10 and keep only what is to the left of the decimal point:

332 / 10 = 33.2000 = 33

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

332 - (10 x 33) = 2

Step 3 - Put Together

Keep the original denominator and use the answers from Step 1 and Step 2

Step 4 - Minimize

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 2, which is the greatest common factor, to get the final answer. 332/10 as a Mixed Number.

5x-5?????????????????????

Answers

Answer:

-25

Step-by-step explanation:

five times five is twenty five and there's a minus sign so it becomes -25

-7(11x - 11) = -11(9x + 1)

Answers

Pls see the attachment

pls help !!!!! i do not understand this at all !??

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Every time you make a cut, you increase the number of logs by one because you are turning one piece of log into two pieces of logs. Since the number of logs increases by one each time you cut it, and you start out with one log, the number of logs will always be one more than the number of cuts.

3x3 divided by 3+3 (4x4)

Answers

Answer:

51

Step-by-step explanation:

hope it help yw

HELP ME PLEASE will give brainliest

Answers

Answer:

a

Step-by-step explanation:

What are the solutions of x squared + 6 x minus 6 = 10?
X= -11 or X= 1
X= -11 or X= -1
X= -8 or X= -2
X= -8 or X=2

Answers

Answer:

Step-by-step explanation:

i think the answer is the

X=(-8) or X=(-2)

if not then its the

X=(-8) or X=(2)

Answer:

X= -8 or X= 2

Step-by-step explanation:

Its D on edg.

How do I solve this can someone please help me as soon as possible thank you so much

Answers

It would just be the two functions added together:

4x^2 - 15 + (-4x - 7)
This would simplify to
4x^2 - 4x - 22

Answer the following questions and round your answers to 2 decimal places. 31% of all college students major in STEM (Science, Technology, Engineering, and Math). If 36 students are randomly selected, find the probability that

Answers

Answer:

[tex]\mathbf{P(X =11 ) \simeq 0.1429}[/tex]

Step-by-step explanation:

The objective of this question is to find the probability that:

Exactly 11 of them major in STEM

So, Let assume X to be the random variable that follows a binomial distribution:

Then [tex]X \simeq Bin ( 36, 0.31)[/tex]

The probability that exactly 11 of them major in STEM can be computed as:

[tex]P(X =11 ) = ^{36} C_{11} (0.31)^{11} (1-0.31) ^{36-11}[/tex]

[tex]P(X =11 ) = \dfrac{36!}{11!(36-11)!} \times (0.31)^{11} \times (0.69) ^{25}[/tex]

[tex]P(X =11 ) = \dfrac{36!}{11!(36-11)!} \times (0.31)^{11} \times (0.69) ^{25}[/tex]

[tex]P(X =11 ) =600805296 \times (0.31)^{11} \times (0.69) ^{25}[/tex]

[tex]\mathbf{P(X =11 ) \simeq 0.1429}[/tex]

Thus; the probability that exactly 11 of them major in STEM is 0.1429

Using the formula A = lw , evaluate if l = 3 and w = 9.

A = 27
A = 3
A = 6
A = 12

Answers

Answer:

A = 27

Step-by-step explanation:

plug in the numbers so A = (3)(9). you multiply 3 and 9 to get 27

I NEED HELP PLS ASAPPPPPPP

Answers

QUICK ANSWER: 8,700,000

i believe the question is asking the difference between the total amount of people between NY and Pittsburg.

9×10^6 = 9,000,000 (NYC)

3×10^5 = 300,000 (Pittsburg)

subtract them and it helps you get your answer

(hope this somehow helps, i'm not good at explaining)

Help! Best answer = Braniest

Answers

Answer:

x=20

Step-by-step explanation:

Since supplementary angles =180 degrees, we need to write the equation as follows:

5x-30+x+90=180

Then you need to add like terms:

6x+60=180

Then you need to subtract 60 from both sides (60 and 180)

6x=120

Then divide both sides by 6 to get

x=20

I hope this helps!!

4.) Cellular phone company A has 86,000,000 customers and cellular phone company B has
83,200,000 customers. How many more customers does cellular phone company A have than
cellular phone company B? Express your answer in standard form and scientific notation.

Answers

Answer:

They have 2,8000,00 more customers. 2.8x10^6

Step-by-step explanation:

Give the equation y = -4x, what is y when x=7

Answers

Answer:

-28

Step-by-step explanation:

y = -4x. Substitute x for 7, so y = -4 times 7.

Answer:

y=-28

Step-by-step explanation:

y=-4*7(x=7) (when there is no sign it is considered as multiply sign)

y=-28

the original price of a backpack is $20. The sale price is 30% off the original price. What is the sale price of the backpack?

Answers

Answer: $14

Step-by-step explanation: You have to multiply 20 by .3 (30%) which is 6. Now you subtract 6 from 20 and get 14.

Percent formula
Part/Whole=%/100
The original price is 20- that’s the whole.
We want the reduced price- the part.
%=30.
100= just a number.
X/20=30/100
Solve for x
X=6.

OR
You could simply do .3 x 20 which gives 6

Nolan was given a box of assorted chocolates for his birthday. Each night, Nolan treated himself to some chocolates. There were originally 30 chocolates in the box and after 8 nights, there were 6 chocolates remaining in the box. Write an equation for , in terms of t, representing the number of chocolates remaining in the box C days after Nolan's birthday .

Answers

Answer: C=-3t+30

Step-by-step explanation:

The equation of remaining chocolate C  in terms of t could be C =30 - 3t.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given that the Initial number of chocolates in box = 30

Also after 8 nights, number of remaining chocolates = 6

Then we have

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written by;

C =30 - 3t.

To know more about Equation on:

brainly.com/question/187506

#SPJ2

Find the area of the shaded region

Answers

Answer:

If you multiply it is 44,800 ft

If you add it is 64 ft

Step-by-step explanation:

If you multiply 28 x 16 x 10 x 10 = 44,800 ft

If you add 28 + 16 + 10 + 10 = 64 ft

(I really hope this helps, if you don't mind can you mark me brainiest?)

What is the answer to this complex math question? 1+1=
3
2
4
7

Answers

2 is the answer that’s is complex to the math question

Answer: hMmMmMm..

Step-by-step explanation: bruh it’s gotta be 7, I mean it totally makes the most sense.

(Ello m8) :3

Priya filled 5 jars, using a total of 7 1/2 of strawberry jam. How many cups of jam are in each jar.

Answers

Answer:

1.5 or 1  1/2

Step-by-step explanation:

7  1/2 divided by 5 would equal to 1.5 or 1  1/2

On three different days at his job, Stephen earned $41, $59, and $60. He needs to earn $150 to buy a couch for his living room. If he buys the couch, how much money will he have left over? After he buys the couch, Stephen will have $ left over.​

Answers

Answer:

He saves $10

Step-by-step explanation:

Add $41 $59 and $60 to get 160

Then subtract 160-150 to get $10

write an inequality to represent the sentence. a number, x, is atleast 10 and at most 20​

Answers

Step-by-step explanation:

10<=x<=20

10 less than or equal to x , less than or equal to 20

(2 1/3 x+7)−( 2/3 x+5)

Answers

Answer:

=19/3x+2

Step-by-step explanation:

The base of a triangle is shrinking at a rate of 9cm/s and the height of the triangle is increasing at a rate of 7cm/s. Find the rate at which the area of the triangle changes when the height is 13cm and the base is 4cm.

Answers

Answer:

A = (1/2)*b*h

objective: find dA/dt

given: b = 26, db/dt = 2, b = (1/2)*h

since we are given db/dt lets get area in terms of b

since b = (1/2)h that means h = 2b

so A = (1/2)*b*(2b) = b^2

Take derivative wrt time, t

dA/dt = 2b*db/dt

Step-by-step explanation:

A production line packages 3,000 boxes of cereal per hour. Quality control technicians randomly sample ten per hour and weigh them. The boxes are classified as underweight or not. X, the number of underweight boxes will be approximately ___________distributed.

Answers

Answer:

The boxes are classified as underweight or not. X, the number of underweight boxes will be approximately ___normally___distributed

Step-by-step explanation:

For a normal distribution the sample size must be less than or equal to 30.

The central limit theorem states that if a variable X from a population has a mean u and a finite variance σ² then the sampling distribution of the sample mean x bar approaches  a normal distribution with mean u and variance σ²/n as the sample size n approaches infinity.

In the given question the sample size n= 10 and population size N= 3000.

Here n < 30 . But if the population is normal this theorem holds true for sample size n < 30.

The number of underweight boxes should be normally distributed.

What is a normal distribution?

It is the distribution where the sample size should be lower than or equal to 30

Since the size of the sample is n = 10 and the size of the population is N = 3000

So here n should be less than 30

Therefore, it is normally distribution.

Learn more about sample here: https://brainly.com/question/3204183

What are the 'x' and 'y' intercepts of the equation 2y + 17 = 6x - 19?

Answers

Answer:

x=6,0

y=0,-18

Step-by-step explanation:

Answer:

x-intercept: (6,0)

y-intercept: (0,-18)

Step-by-step explanation:

To find the x-intercept, set y=0 and solve for x.

2y=+17=6x-19

0+17=6x-19

6x=36

x=6

(6,0)

To find the y-intercept, set x=0 and solve for y.

2+17=6x-19

2y+17=0-19

2y=-36

y=-18

(0,-18)

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