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
pochemuha
2 years ago
14

Solve differential equation dy(t) / dt = -2y(t) with initial condition y = 2 when t = 1

Mathematics
1 answer:
juin [17]2 years ago
6 0

Answer:

y = 2e^[2(1 - t)]

Step-by-step explanation:

1/y . dy = -2. dt

ln(y) = -2t + c

ln(2) = -2(1) + c

c = 2 + ln(2)

ln(y) = -2t + ln(2) + 2

ln(y) - ln(2) = 2 - 2t

ln(y/2) = 2 - 2t

y/2 = e^(2 - 2t)

y = 2e^[2(1 - t)]

You might be interested in
A gym has soccer balls and basketballs. The ratio of soccer balls to basketballs is 3 : 2. The number of soccer balls at the gym
lutik1710 [3]
How many soccer balls are in the gym?
3 0
3 years ago
Read 2 more answers
Which is a true statement about the diagram?
goldfiish [28.3K]
I don't know what the graft is
6 0
3 years ago
Read 2 more answers
Please answer all the questions above.
Fed [463]

Answer:

hope it was helpful!! You are welcome to ask any question

7 0
3 years ago
Read 2 more answers
The temperature was −10 °F and dropped by 16 °F. Which statement represents the resulting temperature in degrees Fahrenheit? A −
algol13
<span>A
−10 + 16 = 6
........................................................</span>
5 0
3 years ago
Read 2 more answers
A bakery used 38 pounds of flour to make French bread and
fomenos

Answer:

since we are not given the options, I will write down a few equations that represent the number of French bread loaves and bagels:

  • a = number of loaves of French bread
  • b = number of bagels
  • available amount of flour = 38

2a + b ≤ 38

2a ≤ 38 - b

a ≤ (38 - b) / 2

a ≤ 19 - 0.5b

b ≤ 38 - 2a

b ≤ 2(19 - a)

Hopefully one of these equations is one of the choices given to you.

8 0
2 years ago
Other questions:
  • The entry fee to the fair is $4.00. Each ride requires a ticket that cost $0.50. Heidi spent a total of $12.00. How many ticket
    12·2 answers
  • The length of a rectangular pool is 4 times its width. if the perimeter of the pool is 140 meters, find its length and width of
    12·1 answer
  • Bill bought 38 1/2 feet of wire fencing to put around his blueberry plants. He cut the wire into several pieces, each one measur
    8·1 answer
  • Factor j^2– 13j + 42.<br>​
    13·1 answer
  • What is 20% of 3000?
    7·2 answers
  • Nobody is answering please help
    10·2 answers
  • Evaluate the expression 3x+2
    7·1 answer
  • What is the value of y (angles)
    15·1 answer
  • a game is played with a circular spinner that contains 7 different colors. the design of the spinner is the order in which the c
    10·1 answer
  • 36. If mĀB = 62 and mCD = 20, what is the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!