I want to find the zeros of the solution to this ODE
DSolve[{y''[x] - (I x - 2) y[x] == 0, y[0]==0,y'[0]==1}, y[x],x]
I use
ResourceFunction["Intercepts"]
and get a product of several hypergeometric functions. Are there alternative ways of getting the zeros?`For instance, such as the Bessel zeros, or the sine cosine zeros at $n\pi$ and $n\pi+\frac{\pi}{2}$?
Thanks
AiryAiZero
just likeBesselJZero
, but Mma cannot solveSolve[BesselJ[1, x] == BesselJ[2, x], x, Method -> Reduce]
or evenSolve[BesselJ[1, x] == 1/10, x, Method -> Reduce]
, even though it can solveSolve[BesselJ[1, x] == 0 x, Method -> Reduce]
. On a bounded interval, it can solveSolve[BesselJ[1, x] == BesselJ[2, x] && 0 < x < 10, x, Method -> Reduce]
. $\endgroup$