Consider the following ODE, $$ x \ddot{x} - \dot{x}^2 - 1 = 0. $$ I can guess that the solution must be $$ x = a \cosh \left(\frac{t - b}{a} \right) $$ How to solve this ODE?
2026-03-28 11:05:50.1774695950
An ODE with Hyperbolic function as solution
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