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Li-Jeng Huang
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Inhomogeneous Bernoulli Equation
When n=2, PQf depend on x. This is Ricatti's Eq. It can also be transformed to 2nd-order linear ODE. Seehttps://en.m.wikipedia.org/wiki/Riccati_equation
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Inhomogeneous Bernoulli Equation
When PQf are constants and n=2, LHS becomes (1/1-n) (1/f)(1/(u1-u2) ln |(u-u1)/(u-u2)|= x+C where u1 and u2 are two roots of u^2 +P/f u - Q/f =0.
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Inhomogeneous Bernoulli Equation
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Inhomogeneous Bernoulli Equation
Yes, it can be done for the cases that PQf are constants. If they are functions of x, cannot solved by separation. Thks a lot for your reminding. I walked too quickly in simplified form.
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Inhomogeneous Bernoulli Equation