IVP
IVP¶
IVP (Initial Value Problem)
e.g.
\[y'=f(x, y),\]
\[y(x_0)=y_0\]
With exact one solution iff
\[\lim_{(x, y)→(x_0, y_0)} f(x, y)\]
and
\[\lim_{(x, y)→(x_0, y_0)} \frac{∂}{∂y}f(x, y)\]
are continuous
IVP (Initial Value Problem)
e.g.
With exact one solution iff
and
are continuous