How do I integrate $2\phi_xs_x + s\phi_{xx} = 0$ to obtain $s^2\phi_x = I$

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How do I Integrate $2\phi_xs_x + s\phi_{xx} = 0$ to obtain $s^2\phi_x = I$,
where I is a constant.

I have tried working back from $s^2\phi_x = I$, but when I differentiate this I obtain $2\phi_xs_x + s^2\phi_{xx} = 0$.

Just wondering where my error is working backwards, as I cannot see a way to do this.

Many thanks.

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Since $(s^2\phi_x)_x=2ss_x\phi_x+s^2\phi_{xx}=s(2\phi_xs_x+s\phi_{xx})=0$, $s^2\phi_x$ is constant.