← M10L1 Question 19 of 20 < -15 ; Sometimes it is possible to solve a nonlinear equation by making a change of the depen

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M10l1 Question 19 Of 20 15 Sometimes It Is Possible To Solve A Nonlinear Equation By Making A Change Of The Depen 1 (64.99 KiB) Viewed 36 times

← M10L1 Question 19 of 20 < -15 ; 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 + p(t)y = g(1)y" and is called Bernoulli's equation after Jakob Bernoulli. If n 0, 1, then the substitution v=y-" reduces Bernoulli's equation to a linear equation. Solve the given Bernoulli equation by using this substitution. t²y + 4ty-y²= 0,t> 0 O 1 y = + và tạ 1 y = t V₁ + cp8 2 y = ± √ 9t +c8 2 y = ± 91 y = ± + cr Save for Later Submit Answer Using multiple attempts will impact your score. 20% score reduction after attempt 3 O O O + ct /1 Attempts: 0 of 5 used