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
djverab [1.8K]
3 years ago
11

Use the Laplace transform to solve the given initial value problem. y' + 6y = e^4t ; y(0)=2 ...?

Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0
Performing laplace transform of the equation.

sY(s) - y(0) + 6Y(s) = 1/(s-4)
(s+6)Y(s) - 2 = 1/(s-4)
Y(s) = 2/(s+6) + 1/(s-4)(s+6), by partial fraction decomposition
Y(s) = 2/(s+6) + 1/10 * (1/(s-4) + 1/(s+6))
Y(s) = 0.1/(s-4) + 2.1/(s+6)

Performing inverse laplace transform,
y(t) = 0.1e^4t + 2.1e^(-6t)


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
You might be interested in
7. Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6). Determine whether
kirill [66]

Answer:

SQUARE

Step-by-step explanation:

If Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6).

Find the following MN,  NP, PQ and MQ

Using the formula for calculating the distance between two points

MN = √(6-0)²+(0-4)²

MN = √6²+4²

MN = √36+16

MN = √52

MN = 2√13

NP = √(0-6)²+(-4-0)²

NP = √6²+4²

NP = √36+16

NP = √52

NP = 2√13

PQ = √(-6-0)²+(0-(-4))²

PQ = √6²+4²

PQ = √36+16

PQ = √52

PQ = 2√13

MQ = √(-6-0)²+(0-4)²

MQ = √6²+4²

MQ = √36+16

MQ= √52

MQ = 2√13

Since the length of all the sides are equal, hence the shape is a SQUARE

4 0
2 years ago
A square patio has an area of 200 square feet . How long is each side of the patio to the nearest tenth ?
MAXImum [283]

Givens

Area = 200 square feet

Formula

A = s^2

Soluton

s^2 = 200 square feet.

Take the square root of both sides.

square root s^2 = square root (200)

You  should use a calculator to find the square root of 200

√

200

=

is the way to put it into the calculator.

s = 14.1 feet on each side. <<<<< Answer

4 0
3 years ago
Mrs. Hartill drove 3.1 miles to the grocery store, then 4.25 miles to the salon, and 10.8 miles to her sons house. How many mile
Bad White [126]

Answer: 18.15 miles

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Please help will mark brainly
Serga [27]

Answer:

its c

Step-by-step explanation:

because 6 divided by 2 is three

7 0
3 years ago
Read 2 more answers
Case 0 has 6 tiles and grows by 4 new tiles each
valina [46]

Answer:

4 and 10

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • The equation y = 15.7x + 459 can be used to predict the cost of renting a studio apartment in a certain housing complex, where x
    7·2 answers
  • Help me please!<br> 1+9^4=?
    9·1 answer
  • What is 37.69911184 rounded to 1 decimal point?
    10·1 answer
  • What is the product of 7 and m? then evaluate the expression for m = 4.
    11·2 answers
  • In a sports equipment locker, there are 81 balls and 45 baseball mitts. Write the ratio of balls to baseball
    8·1 answer
  • Simplify (2x^2+3)(x+4
    5·1 answer
  • 2 – 2y = 16
    14·1 answer
  • Help please!! if you can help me​
    12·1 answer
  • Plz help me <br> I will thank you
    14·2 answers
  • The Clark family bought 8 crates of eggs last week. Each crate had 12 eggs. Since then, they have eaten 28 of the eggs. How many
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!