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Bernoulli's equation of first ordSolve the following different... | Filo

Bernoulli's equation of first ordSolve the following different... | Filo

2023年7月6日

SOLVED: Solve the given differential equation by using a appropriate substitution. The DE is Bernoulli equation: Y -

SOLVED: Solve the given differential equation by using a appropriate substitution. The DE is Bernoulli equation: Y -

SOLVED: 2. Bernoulli Equations Sometimes it is possible to solve nonlinear equation by making change of the dependent variable that converts it into a linear equation. The most important such equation has the form Y p(t)y 9()y" and is called Bernoulli equation after Jakob Bernoulli. Solve Bernoulli's equation when 0l = 0; when n =1 Show that if n 0.1. then the substitution U = yl-n reduces Bernoulli equation to linear equation: This method of solution was found by Leibniz in 1696.

SOLVED: 2. Bernoulli Equations Sometimes it is possible to solve nonlinear equation by making change of the dependent variable that converts it into a linear equation. The most important such equation has the form Y p(t)y 9()y" and is called Bernoulli equation after Jakob Bernoulli. Solve Bernoulli's equation when 0l = 0; when n =1 Show that if n 0.1. then the substitution U = yl-n reduces Bernoulli equation to linear equation: This method of solution was found by Leibniz in 1696.

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