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IVP

IVP

IVP (Initial Value Problem)

e.g.

y′=f(x,y),
y(x0)=y0

With exact one solution iff

lim(x,y)→(x0,y0)f(x,y)

and

lim(x,y)→(x0,y0)∂∂yf(x,y)

are continuous