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A Bernoulli differential equation is one of the form dy + P(x)y = Q(x)y. dx Observe that, if n = 0 or 1, the Bernoulli

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A Bernoulli differential equation is one of the form dy + P(x)y = Q(x)y. dx Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u = yl " transforms the Bernoulli equation into the linear equation du dx + (1-n)P(x)u = (1-n)Q(x). Use an appropriate substitution to solve the equation 2/4 y and find the solution that satisfies y(1) = 1. y(x) =

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