- - -
: 6 * xdx - 6 * ydy = 2 * x^2 * ydy - 3 * x * y^2 dx >
> >

: 6dx - 6ydy = 2*x^2*ydy - 3*x*y^2dx
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,
Dimka

(6x+3xy^2)dx=(2yx^2+6y)dy

m(x,y)- ,

m(x,y)*d(6x+3xy^2)/dy=m*6xy

d[m(x,y)*(2yx^2+6y)]/dx=m'(x,y)*(2yx^2+6y)+m(x,y)*4xy


m*6xy=m'(x,y)*(2yx^2+6y)+m(x,y)*4xy
m'(x,y)*(2yx^2+6y)-m(x,y)*2*x*y=0
2y
m'(x,y)*(x^2+3)-m(x,y)*x=0

m(x,y)=C1*sqrt(x^2+3) m(x,y)=sqrt(x^2+3)

sqrt(x^2+3)*(6x+3xy^2)dx=sqrt(x^2+3)*(2yx^2+6y)dy
, . .



!!!
wils
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