Abstract
Certain nonlinear first-order differential equations can be reduced to linear equations by an appropriate change of variables [1, 2]. For example, it is always possible for the James (Jacob) Bernoulli’s (1654–1705) equation \(y'+p(t)y~=~q(t)y^n,~~~n\ne 0,~1.\) In (2.1), \(n=0\) and 1 are excluded because in these cases the Eq. (2.1) is obviously linear.
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Agarwal, R.P., Hodis, S., O’Regan, D. (2019). Some First-Order Nonlinear Differential Equations. In: 500 Examples and Problems of Applied Differential Equations. Problem Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-26384-3_2
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DOI: https://doi.org/10.1007/978-3-030-26384-3_2
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