- - -
: y'cosx+y=1-sinx >
> >
kino88
y'cosx+y=1-sinx
y'+y/cosx=1-sinx/cosx
du/dx+y/cos=0
du/dx=-y/cosx
, ?
tig81
(kino88 @ 30.1.2010, 14:39) *

y'cosx+y=1-sinx
y'+y/cosx=(1-sinx)/cosx


du/dx+y/cos=0

?

Dimka
(kino88 @ 30.1.2010, 15:39) *

y'cosx+y=1-sinx
y'+y/cosx=(1-sinx)/cosx

, ?


. y=uv
kino88
, . ... , ? .
, ?

Dimka. ? . ...
tig81
kino88
. . . ?
tig81
(kino88 @ 30.1.2010, 14:59) *

?

int
kino88
int tg((x/2+/4)(sinx-1))dx/cosx
....?
tig81
(kino88 @ 30.1.2010, 15:06) *

int tg((x/2+/4)(sinx-1))dx/cosx
....?

?
kino88
du=((1-sinx)Tg(X/2+/4)dx)/ cosx
tig81
(kino88 @ 30.1.2010, 15:14) *

du=((1-sinx)Tg(X/2+/4)dx)/ cosx

?
.
kino88
.
dv/v=-dx/cosx
Ln[v]=-ln[tg(x/2+/4)]
v=1/(tg(x/2+/4))
u'cosx/(tg(x/2+/4))=1-sinx

du=((1-sinx)Tg(X/2+/4)dx)/ cosx
Dimka
(kino88 @ 30.1.2010, 16:33) *

.
dv/v=-dx/cosx
Ln[v]=-ln[tg(x/2+/4)]
v=1/(tg(x/2+/4))
u'cosx/(tg(x/2+/4))=1-sinx

du=((1-sinx)Tg(X/2+/4)dx)/ cosx



tg(x/2+/4) = (1+sin(x)) /cos(x)
kino88
?
Dimka


du=((1-sinx)tg(X/2+/4)dx)/ cosx
kino88
du=cos^x??????
?
Dimka
du=((1-sinx)tg(X/2+/4)dx)/ cosx

du=((1-sinx)(1+sinx)dx)/ (cosx)^2
du=((1-[sinx]^2)/ (cosx)^2
du=dx, u=x+C
kino88
?

?
Dimka
.
kino88
, - .)))))))
Dimka
7
kino88
-, ... , y=uv.....
Dimka
y=uv

v=1/ tg(x/2+Pi/4) =cos(x)/(1+sinx)
u=x+c

y=(x+c)cos(x)/(1+sinx)
kino88
)))) . ., (). !)
wils
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