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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

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Answer:

9x4+126x3+648x2+1440x+1152


Step by step:

27(x^2+8x+16) / 3 (x^2+6x+8)

(27(x^2+8x+16) / 3) (x^2+6x+8)

(27(x^2+8x+16) / 3) (x^2) +(27(x2+8x+16) / 3) (6x)+(27(x2+8x+16)/3) (8)

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3 years ago
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Step-by-step explanation:

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3 years ago
What does this mean 31&gt;28
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Step-by-step explanation:

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A new experimental strain of pepper plants was being studied to estimate how much fruit one plant would produce in a typical gro
zmey [24]

Answer:

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Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1.75

We are given that the distribution of weight of peppers is a bell shaped distribution that is a normal distribution.

Formula:

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