Consider the Cauchy problem $$ \left\{ \begin{array}{l} \dot x=x(t)^2+t\\ x(0)=0 \end{array} \right. $$ Show that its solution is not defined in $[0,3]$.
2026-03-25 09:37:12.1774431432
Blow up solution of a Riccati's equation.
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