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Differensial tenglama

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  • xdx+ydy=0 differensial tenglamaning yechimini toping
    x^2+y^2=C
  • xyy'=1-x^2 differensial tenglamaning yechimini toping
    x^2/2-ln|x|+y^2/2=C
  • Birinchi tartibli oddiy differensial tenglamaning umumiy ko‘rinishini toping.
    F(x,y,y')=0
  • O'zgaruvchilari ajraladigan differensial tenglamani toping 1)(x+y)dx-dy=0 2) (x+y)dy 3) dx++xydy 4) ydx+(xydy
    3
  • xyy'=1- x2 differensial tenglamaning yechimini toping
    x2/2 - ln|x|+y2/2=C
  • 2xy2dx-dy=0 differensial tenglamaning yechimini toping
    y=-1/x2
  • 2xdx- (3 y2 +1)dy=0
    x2 - y3-y=C
  • xdx+ydy=0 differensial tenglamaning yechimini toping
    x2 + y2 =C
  • O'zgaruvchilari ajralgan differensial tenglamani toping 1) xydx-dy=0 2) xdx-ydy=0 3) dx+xydy=0 4) ydx+xdy
    2
  • Ushbu M(x)dx+N(y)dy=0 ko’rinishdagi differensial tenglamaga … differensial tenglama deyiladi.
    o'zgaruvchilari ajralgan
  • Erkli o‘zgaruvchi, noma’lum funksiya va uning hosilalarini (differensiallarini) bog‘lovchi tenglamaga … deyiladi.
    Differensial tenglama
  • Quyida berilganlardan differensial tenglamani toping. 1)x+y+8=0  2)xdx-ydy=0  3)xdx+3ydy-4=0  4)x-y2 -3=0
    2
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