- - -
: y'-y/(1+x^2)=1+x >
> >
NatPs
y'-y/(1+x^2)=1+x
:
y=uv
y'=u'v+uv' :
u'v+uv'-uv/(1+x^2)=1+x
u'v+u(v'-v/(1+x^2)=1+x

v'-v/(1+x^2)=0
dv/v=dx/(1+x^2)
ln|v|=arctgx+c
v=e^(arctgx)

u'e^actgx=1+x
du=(1+x)*e^(-arctgx)dx dry.gif

Dimka
. 1/(1+x^2)
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