Bernoulli differential equation

For

y^{'} + P (x) y = Q (x) y^{n}, n \neq = 0, 1,

the substitution

z = y^{1 - n}

gives the linear equation

z^{'} + (1 - n) P z = (1 - n) Q .

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Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 30 / 4 / a / Solution
Past exam of the mathematics course of the University of Cambridge / 2009 / ia / Paper 2 / 5C / Solution
Past exam of the mathematics course of the University of Cambridge / 2024 / ia / Paper 2 / 1A / b / Solution

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