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
Leya [2.2K]
3 years ago
15

Question 3 Unsaved

Mathematics
1 answer:
bazaltina [42]3 years ago
8 0

Answer:

Step-by-step explanation:

DE given is

y''+8y'+15y=0, y(0)=0, y'(0)=1

Take Laplace on the DE

We get

s^2 Y(s) -sY(0) -y'(0)+8(sY(s)-y(0))+15Y(s) =0\\s^2 Y(s) -s(0) -1+8(sY(s)-0)+15Y(s) =0\\Y(s)(s^2+8s+15)-1=0\\Y(s) = \frac{1}{s^2+8s+15}

Simplify to get

Y(s) = \frac{1}{2}[ {\frac{1}{s+3} -\frac{1}{s+5} }]

Take inverse

y(t) = \frac{e^{-3t} -e^{-5t}}{2}

You might be interested in
What is the Value of the expression below when y=4 and z=4?<br><br> 6y-3z
VLD [36.1K]

Answer: 12

Step-by-step explanation:

6y - 3z

6(4) - 3(4)

24 - 12

12

8 0
3 years ago
(2x + 3)^2 I have more
Evgesh-ka [11]

Answer:

Step-by-step explanation:

(2x+3)^2=4x+9

7 0
3 years ago
What is the explicit formula for this sequence? -5, -3, -1, 1, 3, ...
Ksju [112]
The explicit formula for the sequence is +2
4 0
3 years ago
Which steps will generate an expression equivalent to 14(x + 8)?
Allisa [31]

Answer:

Step-by-step explanation:

14(x + 8)....distribute thru the parentheses by multiplying the number directly to the left of the parenthesis, by everything in the parenthesis.

14(x + 8) = 14(x) + 14(8) = 14x + 112 <== equivalent

this is called the distributive property

3 0
3 years ago
Read 2 more answers
The ratio of the number of inches a tomato plant grows to the number of weeks is 18 to 8 which rate of growth is equivalent?
Novay_Z [31]

Answer:

Pretty sure this it

It grows 2 1/4 inches per week.

Step-by-step explanation:

18:8= 18/8= 2 1/4

3 0
3 years ago
Read 2 more answers
Other questions:
  • 6. Over 5 straight plays, a football team gained 8 yards, lost 4 yards,
    9·1 answer
  • Pencils that were selling at three for 25 cents are now on sale at five for 29 cents. How much money, in cents, would you save b
    5·1 answer
  • How do you write 20/10 as a mixed number
    15·1 answer
  • Pls help me help me ​
    8·1 answer
  • Which country was the first European nation to participate in the slave trade
    12·1 answer
  • Ises: 1. Directions: Express in factor form a
    5·1 answer
  • What is the vertex of g(x) = 8x2 – 48x + 65?
    7·2 answers
  • Enter the correct answer in the box. This graph represents a transformation of the parent cube root function. Replace the values
    14·2 answers
  • Helpppppp question 2
    9·1 answer
  • Where should you place the decimal point in the product of 0.34 x 4 = 136?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!