Consider the problem(adsbygoogle = window.adsbygoogle || []).push({});

[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]

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Inequality for solution

**Physics Forums | Science Articles, Homework Help, Discussion**