simple pendulum equation, why it cannot be solved with laplace transform (the general solution) Usually to solve the simple pendulum equation:
$\qquad \ell {\ddot  \theta }+g\sin \theta =0\,$
Using the first term of Taylor series is used as approximation, but although $\sin \theta$ can be transformed to Laplace "space" and use it to find a general solution, I can't find it.
Why there is no general solution in Laplace?

In general, Laplace transform can be helpful in solving linear differential equations.  But this one is nonlinear.
