What are the analytic solutions to $f(3x)=\dfrac{f(x)f(4x)}{2f(2x)}+\dfrac{f^2(2x)}{2f(x)}$?
Are there solutions that do not satisfy a linear first or second ODE ?
See also : About the addition formula $f(x+y) = f(x)g(y)+f(y)g(x)$
2026-04-01 03:12:57.1775013177
Solution of $f(3x)=\frac{f(x)f(4x)}{2f(2x)}+\frac{f^2(2x)}{2f(x)}$?
162 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ORDINARY-DIFFERENTIAL-EQUATIONS
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