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[tex]y'=\sqrt{y^2+x^2+1}[/tex]

[tex]y(0)=0[/tex]

Prove that the solution is defined for all [tex] x \in \mathbb{R} [/tex] and that [tex] y(x) \geq \sinh (x)[/tex] [tex] \forall x \geq 0[/tex]

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# Inequality for solution

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