Around 1840, the belgian mathematician-biologist p. f. verhulst was concerned with mathematical formulations for predicting the human populations of various countries. one of the equations he studied was dp = p(a - b), where a and b are positive constants. equation (1) came to be known as the logistic equation and its solution is called the logistic function. given the initial condition p(0) = po, po + a/b, show (derive) that the solution to the o. d.e (1) is a po p(t) = b po + 6 po + (a - b po)e-at a (hint: separation of variables and partial fractions, ple-b] = + p)

the answer is c. hope this !

step-by-step explanation:

step-by-step explanation:

4227473658779875563886538705958641728563470543621287463824132573847969p05749365273847906970680574936214

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v

step-by-step explanation:

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