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A Bernoulli differential equation is one of the form frac d y d x P...

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Calculus

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A Bernoulli differential equation is one of the form frac d y d x P x y Q x y n Observe that if n 0 or 1 the Bernoulli equation is linear For other values of 9 n the substitution u y n transforms the Bernoulli equation into the linear equation frac d u d x 1 n P x u 1 n Q x Use an appropriate substitution to solve the equation y prime frac 9 x y frac y 5 x 5 and find the solution that satisfies y 1 1 y x

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