- - -
: y'=y/x^2 >
> >
vfnfy
, dx, , ... , .
tig81
1. . 2? ?
2. , , . . - . , .
vfnfy
y'=y/x^2

dy/dx=y/x^2

dy=ydx/x^2

dy/y=dx/x^2

int dy/y= int dx/x^2

ln[y]= ...
-
int(dx/x^2) - .
vfnfy
, ?
-
-(1/x)
vfnfy
, ))))))) , : int (dx/x^3) int (dx/sqrt x)
tig81
(vfnfy @ 27.9.2009, 19:32) *

, : int (dx/x^3) int (dx/sqrt x)

...
int(x^ndx)=x^(n+1)/(n+1)+C
...
.. x^3=x^(-3)
int (dx/sqrt x) - 1/sqrt(x)=1/x^(1/2)=x^(-1/2)
, .. .
int(x^n)=x^(n+1)/(n+1)
tig81
( @ 27.9.2009, 19:38) *

int(x^n)=x^(n+1)/(n+1)

blush.gif+ rolleyes.gif smile.gif
vfnfy
... int dx/x^3= int x^-1/3dx=x^2/3 / 2/3 = 1,5x^2/3=1,5 3 x^2 ???
tig81
(vfnfy @ 27.9.2009, 19:49) *

... int dx/x^3= int x^(-1/3)dx

(tig81 @ 27.9.2009, 19:36) *

.. x^3=x^(-3)

. blink.gif
vfnfy
int dx/x^3=x^-3?

-1/2x^2?
tig81
(vfnfy @ 27.9.2009, 20:13) *

int dx/x^3=int x^(-3)dx?


-1/(2x^2)?

+ yes.gif
vfnfy
)))) ))))))
tig81
thumbsup.gif
!!
wils
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