Solution of Bessel Differential Equation

Question:Solution of Bessel Differential Equation

Posted: Najibeh Borhani 50 Product: Maple

February 24 2022

Could you help me to get the general solution in this way?

ODE2 := diff(T[1](t), t, t)+2*(diff(T[1](t), t))/t+(Omega^2/(a[i]^2*t^(4/3))-20/(9*t^2))*T[1](t)

diff(diff(T[1](t), t), t)+2*(diff(T[1](t), t))/t+(Omega^2/(a[i]^2*t^(4/3))-(20/9)/t^2)*T[1](t)

(1)

T[1](t) = _C1*BesselJ((1/2)*89^(1/2), 3*Omega*t^(1/3)/a[i])/t^(1/2)+_C2*BesselY((1/2)*89^(1/2), 3*Omega*t^(1/3)/a[i])/t^(1/2)

(2)

Thanks

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