(Solution) - A Bernoulli differential equation named after James Bernoulli -(2025 Original AI-Free Solution)

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A Bernoulli differential equation (named after James Bernoulli) is of the form dy/dx + P(x) y = Q(x)yn Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, show that the substitution u = y1-n transforms the Bernoulli equation into the linear equation