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(1)y=q(t)y" and is called Bernoulli's equation after Jakob Bernoulli. If n 0, 1, then the substitution vy reduces Bernoulli's equation to a linear equation. Solve the given Bernoulli equation by using this substitution. 12y + 4ty-y²=0,t> 0 + cª y = ± + + a² O O O ON Na

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