Hi again, here's another question that I had a go at but haven't got any answers for, does the working and answer seem ok?
The method I use is outlined in my lecture notes, however I am unsure of it's actual name.
First thing I did was to isolate the x term on the right hand side by multiplying everything by , giving the equation
I then use the substitution of , then differentiate this equation with respect to x and you get .
Placing these two substitutions into my original equation this simplifies to be .
I wasn't too sure what to do at this point, I took a guess at using an integrating factor of , which when I put back into the equation gave me .
This then integrates to , which after putting back in my substitution gave the answer of .
Is any of this correct, or know me have I made an early error and then just answered a completely different question?