Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable that converts it into a linear equation.
The most important such equation has the form y' + p(t)y = q(t) yⁿ and is called Bernoulli's equation after Jakob Bernoulli. If n ≠ 0, 1, then the substitution v = y¹⁻ⁿ reduces Bernoulli's equation to a linear equation.
Solve the given Bernoulli equation by using this substitution:
y' = εy − σy⁵, ε > 0 and σ > 0.
This equation occurs in the study of the stability of fluid flow.

step-by-step explanation:

if you want to separate 54 into 6 individual tiers then you need to divide if you want to separate 54 into 6 individual tiers then you need to divide 6 and 54.

if you divide 9 by 6 you will get 54.

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answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.

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step-by-step explanation:

step-by-step explanation: if she dances 25 minutes longer then runs she would have dance 25 more minutes of running and 30 minutes of dancing to add up to 55