Question: In Exercises solve the Bernoulli differential equation. The Bernoulli equation is a well-known nonlinear equation of the form that can be reduced to a linear

In Exercises solve the Bernoulli differential equation. The Bernoulli equation is a well-known nonlinear equation of the form

y' + P(x)y = Q(x)y"

that can be reduced to a linear form by a substitution. The general solution of a Bernoulli equation is

y' + xy = xy-¹

y' + P(x)y = Q(x)y"

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