Question: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable that converts it into a linear equation.

Sometimes it is possible to solve a nonlinear equation by making a

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)y" %3D and is called Bernoulli's equation after Jakob Bernoulli. If n + 0, 1, then the substitution v = = yl -n reduces Bernoulli's equation to a linear equation. Solve the given Bernoulli equation by using this substitution. t2y' + 9ty y3 = 0, t> 0 %3D

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