Let us consider the following system of ODEs: $$ y' = f(y,z),\quad z' = g(y,z),\quad y(0) = y_0,\;z(0)=z_0 $$ and the following one: $$ y' = f(y,z),\quad 0 = g(y,z), \quad y(0) = y_0. $$ $f$ and $g$ can be nonlinear by $y$ and they are linear by $z$. Where can I find results about convergence of the solution of the first system to the solution of the second system?
2026-04-08 20:21:40.1775679700
System of ODEs and DAE system
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