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.

answer is c

step-by-step explanation:

r and t.

both are 64 degrees.

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation:

step-by-step explanation:

its 512 because parenthesis and to the 2nd power is 512 so it will be 512