Question

$interate \: to \: dy ^{2} \div dx ^{2} + xy = 0$
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Answer 1

Answer:

$\frac{d {y}^{2} }{d {x}^{2} } = - xy \\ \frac{2ydy}{2xdx} = - xy \\ dy = - {x}^{2} dx \\ integrating \: both \: sides \\ y = - \frac{ {x}^{3} }{3} + c$

Answer 2

Answer:

$y = - \frac{ {x}^{2} }{3} + c$