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
sweet [91]
3 years ago
11

The following differential equation is separable as it is of the form dP/dt = g(P)h(t).

Mathematics
1 answer:
dedylja [7]3 years ago
7 0

Answer:

P(1-P) = Ae^t

Step-by-step explanation:

given differential equation is

\frac{dP}{dt} =P-P^2\\\frac{dP}{dt} = g(P) h(t)\\g(P) = P-P^2\\h(t) = 1

So this is separable

We separate as

\frac{dP}{P-P^2} =1dt\\\frac{dP}{P(1-P)} =1dt

Resolve into partial fractions to solve this

dP(\frac{1}{P}+ \frac{1}{1-P} ) = 1dt\\ln P(1-P) = t+C\\P(1-P) = Ae^t

So solution isP(1-P) = Ae^t

You might be interested in
The intersection of two planes is a <br> POINT <br> PLANE <br> LINE <br> LINE SEGMENT
ludmilkaskok [199]
The intersection of two planes is a line.
3 0
3 years ago
Find the value of the following expression 100 - 2(x + 5) when x = 10 *
Ede4ka [16]

Answer:

70

Step-by-step explanation:

100 - 2(x + 5) = 100 - 2x - 10 = 90 -2x

90 - 2x

90 - 2×10

90 - 20 = 70

4 0
2 years ago
Read 2 more answers
Can y’all help me out please
natta225 [31]
Answer: C
ABCD may or may not be a parellolgram. Line BD bisects line AC, however we cant figure out if line AC bisects line BD.
4 0
2 years ago
Read 2 more answers
Which of the following equations describes the line shown below? Check all
Brilliant_brown [7]

Answer:

y = 7 x + 15

Step-by-step explanation:

6 0
3 years ago
Hi i need help on this
Allushta [10]
Answer
X=125
Solution
25x 4/25>25x5
3 0
3 years ago
Read 2 more answers
Other questions:
  • A local truck rental agency advertises the following offer for a medium size truck: flat fee of $30 plus $12.95 per day plus 10
    15·2 answers
  • Numbers expressed using exponents are called
    11·1 answer
  • Change the fraction 3/4 to a percent.
    12·1 answer
  • Simplify:<br> 5q^2r (times) 2q^4r^7<br> -------(fraction bar)----------<br> 6r^2t^2(times) 4q^3r^3
    11·1 answer
  • Suppose that a visitor to Disneyland has a 0.74 probability of riding the Jungle Cruise, 0.62 probability of riding the Monorail
    10·1 answer
  • Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 36 miles at a speed of 6 mph, while
    14·1 answer
  • Gavin and Jim share some money in a ratio of 1:3 gavin gets £15 how much did Jim get
    14·1 answer
  • Which fraction is equal to 2/3? 4/7,8/12,6/9
    8·1 answer
  • Simply <br><br> 1/2-3(1/2+1)^2<br><br> Enter your answer,as a simplified fraction, in the box
    7·1 answer
  • initially the first bank account is $5 less than the second account. after a month the first account had tripled and the second
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!