I don't usually have problems with solving ODEs but somehow I can't solve this one. I know that I have to substitute with $u$ and $u'$ but that's it...
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1 Answer
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Hint
Substitute $z=x+y-2=$ and $z'=y'+1$
Then solve $$z'-1=z^2$$ $$\int \frac {dz}{z^2+1}=x+K$$
answered Jan 31, 2018 at 1:51
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1$\begingroup$ Yeah, that's clear now. Thank you very much $\endgroup$– George SJan 31, 2018 at 2:06
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$\begingroup$ @DjordjeS you're welcom hope it helped you.. $\endgroup$ Jan 31, 2018 at 2:07