- - -
: x*dy/dx=(3y^3+8yx^2)/(2*(y^2)+4x^2) >
> >
Lutik
x*dy/dx=(3y^3+8yx^2)/(2*(y^2)+4x^2)
dy/dx=(x+3y-4)/(5x-y-4) ?
-
. x^3.
Lutik
x*dy/dx=(3y^3/x^3+8(yx^2)/x^3)/(2*(y^2)/x^3+4x^2/x^3)

x*dy/dx=(3y^3/x^3+8(y/x)/(2*(y^2)/x^3+4/x)
x^3? x ?
Dimka
, y/x x/y, y/x=k
Lutik
x*dy/dx=(3y^3/x^3+8(y/x)/(2*(y^2)/x^3+4/x)
x^3?
y/x=k
x*dy/dx=(3k^3+8k/(2*(y^2)/x^3+4/x)
(y^2)/x^3 ?
-
. x^2, x.
Lutik
,
x^2 2?
x*dy/dx=(y*((3y^2+8(x^2)))/(2*(y^2)+2x^2)
x*dy/dx=(y*((3y^2/x^2+8)))/(2*(y^2)/x^2+2)
dy/dx=(yx*((3y^2/x^2+8)))/(2*(y^2)/x^2+2)
V.V.
Lutik, y(x)=x*z(x).
Lutik
y'(x)=x'*z(x)+z'(x)x ?
V.V.
(Lutik @ 4.10.2009, 20:42) *

y'(x)=x'*z(x)+z'(x)x ?


. , x'=1.

.
Lutik
=*z() -> y'(x)=x'*z(x)+z'(x)x y=u*v -> y'=u'v+v'u?
x*dy/dx=(3y^3+8yx^2)/(2*(y^2)+4x^2) ^2,
x*dy/dx=(3(y^3)/(x^2)+8y)/(2*(y^2)/(x^2)+4)
y'=u'v+v'u y=u*v ?
V.V.
!!!

x*dy/dx=(3y^3+8yx^2)/(2*(y^2)+4x^2)

y=x*z(x)

x(x*dz/dx+z)=(3x^3z^3+8x^3z)/(2x^2z^2+4x^2)

x*dz/dx+z=(3z^3+8z)/(2z^2+4)
Lutik
. !
wils
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wils
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