(1 point) An equation in the form y′+p(x)y=q(x)yn with n≠0,1 is called a Bernoulli equation and it can be solved using the substitution v=y1−n which transforms the Bernoulli equation into the following first order linear equation for v: v′+(1−n)p(x)v=(1−n)q(x)

Given the Bernoulli equation y′+76y=12e−7xy−5 we have n= -5 so v= y^6 .

We obtain the equation v′+ 49/6 v= 7/2e^(-7x) .

Solving the resulting first order linear equation for v we obtain the general solution (with arbitrary constant C) given by v=

Then transforming back into the variables x and y and using the initial condition y(0)=21/6 to find C= .

Finally we obtain the explicit solution of the initial value problem as y=

i think the answer is .36

step-by-step explanation:

what i did was only 2.88 divided by 8

answer are

step-by-step explanation:

it has the same slope and a different y-intercept

hope this : )

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.