- #1
Apothem
- 39
- 0
Hi,
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
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