Existence-uniqueness: Revision history

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18 May 2024

17 May 2024

26 April 2024

  • curprev 22:2722:27, 26 April 2024‎ Rice talk contribs‎ 938 bytes +938‎ Created page with "Consider an IVP for a general first order scalar ODE. <math> \begin{cases} y' = f(t,y)\\ y(t_0) = y_0 \end{cases} </math> The '''existence-uniqueness theorem''' theorem states that if <math>f(t,y)</math> and its derivative w.r.t. y is continuous in some rectangle <math>a<t<b</math>, <math>c<y<d</math> about <math>(t_0, y_0)</math>, then there exists a unique solution of the IVP defined for some time interval <math>a'<t<b'</math> about..."
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