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
densk [106]
3 years ago
14

Use the laplace transform to solve the initial value problem: y''+y=1, y(0)=2 and y'(0)=0

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0

Answer:

y(s) = sin t + 2 cost

Step-by-step explanation:

given,

     y''  + y = 1,                       y(0) = 2  and  y'(0) = 0

applying Laplace transformation both side

s²y(s) - s y(o)- y'(0) + y(s) = L{1}

s²y(s) - 2 s + y(s)  = L{1}

y(s)(s² + 1 ) =  L{1}  + 2 s

y(s)= L^{-1}(\dfrac{L(1)}{s^2 + 1})+2L^{-1}(\dfrac{s}{s^2+1})

     y(s) = sin t + 2 cost

hence, the required solution of Laplace will be

     y(s) = sin t + 2 cost

You might be interested in
Please help on 10 11 and 12
erastova [34]
Try multiplaying all sides
4 0
3 years ago
What word best fits this definition
postnew [5]

Answer:

EXTRAPOLATION.

Step-by-step explanation:

We have been given  a crossword puzzle in the figure

And we need to fill the missing word in this which has to be a mathematics word because we need to follow the pattern

And all words are mathematical

Hence, The word that can be filled there is EXTRAPOLATION.

Extrapolation means in mathematics is finding value of the variable on basis of the relationship this variable have with other variable.

6 0
3 years ago
Since 1924, 4 out of 22 Winter Olympics have been held in the U.S. In simplest form, what fraction of the Winter Olympics from 1
Dafna11 [192]
The fraction of winter Olympics that hasn't been held in the U. S is 9/11
6 0
3 years ago
Offering 15 points for a good and explained answer.
Romashka [77]
The answer is False
3 0
3 years ago
Please help quick i get brainliest
IrinaK [193]
Question 1:
If you know that 3 squares equals 7 circles and the squares are being counted by 3, then continue to count the circle by 3 until you get 25 circles.
Example:
3 Squares : 7 circles
4 squares : 10 circles
5 squares : 13 circles 
6 squares : 16 circles
7 squares : 19 circles
8 squares : 22 circles
9 squares : 25 circles       Add 9 squares to 3 = 12
You will have 12 squares when continues to count all the way to 25 circles.

Question 2:
Just multiply 14 by 28 and you will get your answer. Which is 3. The missing digit's 3. You can then check by doing 392 ÷ 14 to see if you get 28.
6 0
3 years ago
Other questions:
  • For the displayed triangle, provide the following value B=
    10·1 answer
  • Convert 8100 mg to grams <br> help me ?
    8·2 answers
  • Give three examples of how percents are used in the real world????
    8·2 answers
  • What is 6 and 1/5- 2and 1/3
    6·2 answers
  • Y = x2 – 3x + 10, find f(–2)
    5·1 answer
  • Please Help me i'm timed
    9·2 answers
  • Help please help me
    13·1 answer
  • Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.​
    6·1 answer
  • Help help help help help
    6·2 answers
  • Y′′−4y′+4y=63e^5t with y(0)=3 and y′(0)=4.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!