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The apparent-singularity conjecture for the associated third-order ODE
Apparent-singularity conjecture. The point $0$ is an apparent singularity if and only if $B=D_0=D=0$ ; equivalently, this polynomial system has only the trivial solution $B=D_0=D=0$ …
openapparent-singularities ordinary-differential-equations toda-systems
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The apparent-singularity conjecture for the associated third-order ODE