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The problem is to solve:

dy/dx = −[2x + ln(y)]*(y/x)

Attempt:

I have tried to see if it is exact, I found it not to be, I can't easily find a function to multiply by to make it exact either (unless I am missing something obvious). It clearly isn't seperable, nor is it homogenous (I know although some non-homogenous ODEs can be solved using the homogenous method I don't think this one can be), it also isn't a linear equation so we can't use integrating factors.

I'm looking for pointers in the right direction/which method to use.

Thanks for your time

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# B First Order Non-Linear ODE (what method to use?)

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