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.

the clues that signal the reader should change tone are the punctuation marks, the grammatical signs. for example, the quotation marks at the beginning of something someone else said literally or the exclamation marks.

the tone of the first line of dialogue until "gettysburg" is a kind tone, a tone of advise. the narrator is trying to the other person in doing something he or she obviously is finding hard to do by giving a piece of advise and bringing up a memory of a successful similar case.

the clue that the reader understand how to read the word "bang" is the exclamation mark. it gives the word a surprise tone, a strong accent.

the best tone for reading the word "bang" is an exciting tone, a surprise one, even a loud one.

the words that should be read with a formal tone are the ones that give factual information. the sentence: mister lincoln couldn't think of anything to say at the gettysburg" gives information about an event and it needs to be read formally, also, when the narrator wants to transmit calmness, a formal and slow tone is needed, because people also transmit messages with the vibrations of our voices and tones.

the answer is thin because within context, the stanza concludes the and frail tone the people have toward each other, and the fact that it would be thin, makes the most sense compared to "pliable" or "not hard or firm to the touch". hope this , good luck.

step-by-step explanation:

can i have brainliest