![ivanyeli4520](/avatars/22636.jpg)
ivanyeli4520
26.09.2019 •
Mathematics
Consider the initial value problemy' + 3 y = 36 t, y(0) = 6.take the laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. denote the laplace transform of y(t) by y(s). do not move any terms from one side of the equation to the other (until you get to part (b) below).solve your equation for y(s).y(s) = l{y(t)} =take the inverse laplace transform of both sides of the previous equation to solve for y(t).y(t) =
Solved
Show answers
More tips
- H Health and Medicine Trading Semen for Money: Where Can You Sell and Why Would You Want to?...
- L Leisure and Entertainment What Movies You Should Watch: A Guideline to Make the Right Decision...
- F Family and Home How to Choose a Baby Stroller: Tips from Experienced Parents...
- H Health and Medicine 5 Simple Steps to Quit Smoking for Good...
- H Health and Medicine Coughing: Causes, Types, and Treatment Methods...
- H Health and Medicine How to Treat the Flu: A Comprehensive Guide...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
Answers on questions: Mathematics
- M Mathematics 1. Create a stem-and-leaf plot for the following data. Use the first digit (hundreds) as the stem, and the second (tens) as the leaf. Truncate any units and decimals....
- M Mathematics i need help.. I havent been paying attention at all in my algebra classes and i tried everything to understand this and nothing is helping...
- M Mathematics 5x^2-20x-370=15 intermediate step...
- M Mathematics A circle has a circumference of 8 millimeters. What is the circle s radius? Use 3.14 for pi and round your answer to the nearest tenth....
- M Mathematics if you help out on this and do all answers i well create another 4 with 100 points so you get 50 each time for free i need help i have it at a low number so people dont...
- M Mathematics a novice fisherman wants to track the number of fish he catches at his first favorite watering hole per day over a period of time. He created a dot plot of his results...
- M Mathematics What number is in the tenths place - 16.247...
- M Mathematics According to the document Market Survey of Long-Term Care Costs, published by the MetLife Mature Market Institute, the average cost of a private room in a nursing home...
- M Mathematics What is a 7 - 0.9 = *...
- M Mathematics Qué magnitud expresa la medición del amperaje necesario para el funcionamiento de un motor...
Ответ:
The solution of the differential equation is
.
Step-by-step explanation:
The first step is to take Laplace transform in both sides of the differential equation. As usual, we denote the Laplace transform of
as
. Then,
In the last step we use that
and
.
Notice that our differential equations becomes an algebraic equation for
, which is more simple to solve.
In the expression we have obtained, we can write
in terms of
:
Now, we make a partial fraction decomposition for the term
. Thus,
Substituting the above value into the expression for
we get
To obtain this we have used the following identities that can be found in any table of Laplace transforms
Ответ:
y = x - 1 (2)
From here, in order to eliminate one variable, we can subtract (1) from (2)
(2) - (1):
x - 1 - (-2x + 8) = y - y = 0
x - 1 + 2x - 8 = 0
3x - 9 = 0
3x = 9
x = 3
Substituting x back into y:
y = 3 - 1 = 2
Thus, x = 3, y = 2
Or: (3, 2)