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
o-na [289]
3 years ago
10

Use appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) ℒ

−1 s s2 + 3s − 4
Mathematics
1 answer:
castortr0y [4]3 years ago
4 0

We assume you want to find the inverse transform of s/(s^2 +3s -4). This can be written in partial fraction form as

(4/5)/(s+4) + (1/5)/(s-1)

which can be found in a table of transforms to be the transform of

(4/5)e^(-4t) + (1/5)e^t


_____

There are a number of ways to determine the partial fractions. They all start with factoring the denominator.

s^2 +3x -4 = (s+4)(s-1)


After that, you can postulate the final form and determine the values of the coefficients that make it so. For example:

A/(s+4) + B/(s-1) = ((A+B)s + (4B-A))/(s^2 +3x -4)


This gives rise to two equations:

(A+B) = 1

(4B-A) = 0

You might be interested in
What is 4.510 in word form
Crazy boy [7]
<span>
four and fifty-one hundredths</span>
7 0
3 years ago
Read 2 more answers
6. Find the equation of a parabola with a focus of (0, 15) and directrix y = -15
mihalych1998 [28]
Hey i just need points
U got this
8 0
3 years ago
If X²+1=2x then what the value of x²?
natka813 [3]

Answer:

x² = 2x - 1

Step-by-step explanation:

x² + 1 = 2x

→ Minus 1 from both sides

x² = 2x - 1

7 0
3 years ago
Read 2 more answers
Help me :) !
m_a_m_a [10]

Answer:

69

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Simplify the ratio: 2:1 1/2
yKpoI14uk [10]

1/2 is the simplified version

8 0
3 years ago
Other questions:
  • Your friend has prepared his monthly budget and asks you if he has overlooked anything in this planning. Which of the following
    9·2 answers
  • Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. (If a value doe
    12·1 answer
  • Mrs. Harrison has a jar full of cookies.
    13·2 answers
  • Will give brainless whatever that means. Due today. The radius of a basketball is 10 inches, and the radius of a soccer ball is
    7·1 answer
  • Pleeeeeeease help
    15·1 answer
  • The domain, range, and intercepts of a function are shown. Which set of information could be characteristics of the function's i
    13·2 answers
  • What is the measure of angle A please HELP I’ll give you BRAINLIEST
    11·1 answer
  • NEED HELP ASAP !!!! How many points need to be removed From this graph so that it will be a function ?
    8·2 answers
  • Find x please :) pleaseeee
    9·1 answer
  • Larry has a bowl of raspberries and blackberries. There are 2 more raspberries than blackberries, and there are 34 berries in al
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!