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. :<br />
y′ = sin 2 ( x − y + 1)<br />
: u = x − y +1,<br />
<br />
u ′ = 1−<br />
y′<br />
<br />
1 − u′<br />
= sin<br />
2<br />
u<br />
<br />
sec 2 u du<br />
=<br />
dx<br />
<br />
tan u = x +<br />
C<br />
:<br />
tan( x − y + 1)<br />
= x +<br />
C<br />
( C )