1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anon25 [30]
3 years ago
13

Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as neede

d. y'' + 4y = cos 2t, y(0) = 5, y'(0) = 3
Mathematics
1 answer:
timama [110]3 years ago
8 0

Answer:

y(t)=\frac{1}{4} tsin(2t)+\frac{3}{2} sin(2t)+5cos(2t)

Step-by-step explanation:

we are given

y(0)=5

y'(0)=3

y''+4y=cos(2t)

we can take Laplace transform both sides

s^2Y(s)-sy(0)-y'(0)+4Y(s)=\frac{s}{s^2+4}

now, we can plug values

s^2Y(s)-5s-3+4Y(s)=\frac{s}{s^2+4}

now, we can solve for Y(s)

Y(s)=\frac{s}{(s^2+4)^2}+\frac{5s+3}{(s^2+4)}

now, we can take inverse Laplace transform both sides

we can use Laplace transform table

and we get

y(t)=\frac{1}{4} tsin(2t)+\frac{3}{2} sin(2t)+5cos(2t)



You might be interested in
Helppp meeee please
nekit [7.7K]

Answer:

The Equation for lyft is:

4.50x

The Equation for uber is

2.50x+5

Step-by-step explanation:

If you want to determine which one is better then you can just plug in the distance in place of x. For example if it asked you which one was better for 5 miles, uber or lyft you could plug 5 into the equation.

It would look like this

Lyft: 4.50 (5)= 22.5

Uber

2.50 (5) +5= 17.5

If the distance were 5 miles uber would be the better option.

5 0
2 years ago
Read 2 more answers
At a wedding reception an equal number of guests were seated at each of three large tables, and 7 late arriving desks were seate
nikitadnepr [17]

Answer:

10 guests a table

Step-by-step explanation:

3 tables

7 late arrivals

37 total people

37 minus 7 is 30

30 divided by 3 is 10

answer is 10

8 0
2 years ago
Ion understand this-
leva [86]

Answer:

2nd one

Step-by-step explanation:

(90 x 5) - 3 = 447

6 0
2 years ago
Solve -2(2x+5) -3(x-1)
OLEGan [10]
<h2>Hello!</h2>

The answer is:

-2(2x+5)-3(x-1)=-7x-7\\

<h2>Why?</h2>

To solve the problem, we need to perform the operations and then, add like terms.

We need to apply the distributive property, which is defined by the following way:

a(b+c)=ab+ac

Also, we need to remember how to add like terms. Like terms are terms that share the same exponent and the same variable, for example:

3x+5x+x^{2}=8x+x^{2}

We were able to add only the first two terms since they are like terms, both are sharing the same exponent and the same variable.

So, we are given the expression:

-2(2x+5)-3(x-1)

Then, solving we have:

-2(2x+5)-3(x-1)=-4x-10-(3x-3)\\\\-4x-10-(3x-3)=-4x-10-3x+3\\\\-4x-10-3x+3=-4x-3x-10+3\\\\-4x-3x-10+3=-7x-7

Hence, we have that the answer is:

-2(2x+5)-3(x-1)=-7x-7\\

Have a nice day!

8 0
3 years ago
What is the perpendicular gradient for the equation of a straight line <br>y=-1/2x+c​
satela [25.4K]

Answer:

The perpendicular gradient is 2x

7 0
2 years ago
Read 2 more answers
Other questions:
  • Lee’s kitten, Sophia, is 2 1/3 times as heavy as she was last year. Sophia now weighs 21 ounces. What did she way a year ago?
    15·1 answer
  • The area is 7, the width is 2 2/9 what is the length?
    6·1 answer
  • Whats the area surface of a rectangular prism with 7 as it’s width length and height
    13·1 answer
  • 4) Solve for x: 4(2x - 10) = 12x + 10
    5·2 answers
  • Can someone help? What’s the answer.
    9·1 answer
  • Use triangles to find the sum of the interior angle measures of the polygon.
    13·1 answer
  • I need help finding slope for this both
    14·1 answer
  • Plz help<br> Will be marked BRAINLIEST!!!!!!
    11·2 answers
  • -3.4, 3.1, -3.42, 3.38<br> Order from least to greatest
    11·2 answers
  • Find the distance between the points on the graph.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!