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