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3 years ago

Solve the differential equation using the method of undetermined coefficients

1 answer:

5 0

First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)

next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.

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I NEED HELP WITH THIS <br> Q1

levacccp [35]

Answer:

$\frac{1}{4} (x-5)=13$

Step-by-step explanation:

So when we multiply this is what we get:

$\frac{x-5}{4}=13$

then we multiply the 4 by 13:

$x-5=52$

then after that we add 52+5 and we get:

$x=57\\$

4 0

2 years ago

Read 2 more answers

The length of a rectangle is 2 meters more than its width. The area of the rectangle is 80 square meters. What is the length and

insens350 [35]

Answer:

Step-by-step explanation:

Formula

A = L * W

Givens

W = W

L = W + 2

Solution

Area = L*W

Area = (W+2)*W = 80 Remove the brackets.

Area = W^2 + 2W = 80 Subtract 80 from both sides.

Area = w^2+2W-80=80-80 Combine

Area = w^2 +2W-80 = 0 Factor.

Area = (w+10)(w - 8) = 0

W + 10 = 0 won't work

W = - 10 which isn't possible

W- 8 = 0

W = 8

L = 8 + 2 = 10

The answer looks like A

8 0

3 years ago

Tristan has some dimes and some quarters. He has at least 20 coins worth at most $4.25 combined. If Tristan has 10 dimes, determ

Dovator [93]

Answer:

The maximum number of quarters that he could have is 13

Step-by-step explanation:

Let x represent the number of quarters he could have. If he has 10 dimes and has at least 20 coins, then

→ x + 10 >= 20

→ x >= 10 (1)

His coins worth at most $4.25. Also, it is known that 1 dollar is equal to 100 cents, 1 dime is equal to 10 cents and 1 quarter is equal to 25 cents.

→ (x * 25) + (10 * 10) <= (4.25 * 100)

→ 25x + 100 <= 425

→ 25x <= 325

→ x <= 13 (2)

If we combine the equation 1 and 2:

10 <= x <= 13

The maximum value of x is 13

7 0

3 years ago

Model Real Life You and a partner

shutvik [7]

No. Using multiplication and division, you and your partner will not each get the same number of flips because one can flip 23 times, while the other does it 22 times.

<h3>What are mathematical operations?</h3>

The basic mathematical operations include addition, subtraction, multiplication, and division.

These mathematical operations are performed on numbers, variables, equations, and functions to determine numerical results.

In this situation, we first multiply to get the total number of times the 3 bottles can be flipped.

This total is divided by 2 to see if there will not be a remainder. The result of the division operation is an odd value.

The number of bottles for flipping = 3

The number of times to flip each bottle = 15 times

The total number of times to flip the 3 bottles = 45 times 93 x 15)

The number of those conducting the bottle flipping experiment = 2

The number of times each partner can flip the bottles evenly = 22.5 times (45/2)

Each partner cannot flip the same number of times based on the mathematical operations because 45 is not an even number.

Learn more about mathematical operations at brainly.com/question/20628271

#SPJ1

7 0

1 year ago

Which is the equation of the graphed line written in standard form? y = x x – 1/2y = 0 x – y = 0 y =1/2x

Airida [17]

The standard for of this equation is x – y = 0

Firstly, options A and D are not in standard form, so they are not options.

To decided between B and C, we choose a point on the line and see if it works. For example, we'll use (2, 2).

x – y = 0

2 - 2 = 0

0 = 0

This is true for option C. Therefore, it is correct.

4 0

3 years ago