suggestion on faster solving set of nonlinear ODEs

restart:with(DEtools):with(DifferentialAlgebra):

eq[1]:=diff(N(r),r$2)+2/r*diff(N(r),r)+diff(phi(r),r)/phi(r)*diff(N(r),r)-mu^2/(32*phi(r))*N(r);

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eq[2]:=diff(phi(r),r$2)+2/r*diff(phi(r),r)-1/2*diff(phi(r),r)^2/phi(r)-8*diff(N(r),r)^2/(omega*(1-2*G*M/r))*phi(r);

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dsolve({eq[1],eq[2]});