I'm trying to solve the equation of a form like,
diff(eta(tau), tau, tau)+(8/(4*tau^2+1)-32/(4*tau^2+1)^2)*eta(tau) = 0,
when I'm doing solve DE, I get a solution as:=
eta(tau) = _C1*sqrt(4*tau^2+1)*LegendreP((1/2*I)*sqrt(7)-1/2, I*sqrt(7), (2*I)*tau)+_C2*sqrt(4*tau^2+1)*LegendreQ((1/2*I)*sqrt(7)-1/2, I*sqrt(7), (2*I)*tau
which is combination of Legendre Polynomials with imaginary arguments,May I change this form,
How can I plot this solution on real plane, as this is imaginary,
Is the only option remaining NUMERIC PLOT??