Solve differential equation: y' + y^2 sinx = 0

Solve differential equation: ${y}^{\prime }+{y}^{2}\mathrm{sin}x=0$
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$\frac{dy}{dx}=-{y}^{2}.\mathrm{sin}\left(x\right)$
$\int \frac{dy}{{y}^{2}}=-\int \mathrm{sin}\left(x\right)dx$
$-\frac{1}{y}=C+\mathrm{cos}\left(x\right)$
$y\left(x\right)=-\frac{1}{C+\mathrm{cos}\left(x\right)}$