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## Homework Statement

Show that the equation [tex]-\frac{x}{2}\frac{dy}{dx} = \frac{d^2y}{dx^2}[/tex]

can be written as

[tex]\frac{d}{dx}\left({\ln \frac{dy}{dx}}\right) = -\frac{x}{2}[/tex]

**3. Attempt at the solution**

I approached this by writing [tex]\frac{d}{dx}\left({\frac{dy}{dx}}\right) = -\frac{x}{2}[/tex]

But this isn't the required result and I can't see how to get there?

Please help!

With very many thanks,

Froskoy.