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    $\begingroup$ it is not likely you can get analytical solution for $h(s)$ because your second order ode is nonlinear. how does one force Mathematica to solve the eqn? some ode's can't be solved analytically. In this case you could try numerical solution. $\endgroup$ Commented Sep 18, 2023 at 6:53
  • $\begingroup$ @Nasser but what should I print? Please, I'm begging, help me! I need to find the h[s]... $\endgroup$ Commented Sep 18, 2023 at 7:51
  • $\begingroup$ Maybe you can look at a simpler case of $f(s)=a$, where $a$ is a constant. In this case your equation for $h(s)$ can be solved. $\endgroup$ Commented Jun 14, 2024 at 11:25