fip + P(x)y= Q(x)y". dr Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u = y " transforms the Bernoulli equation into the linear equation du + (1— п)P(г)и — (1 — п)Q(г). dx Use an appropriate substitution to solve the equation y' 715 and find the solution that satisfies y(1) 1. y(x) =

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