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Team 2
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Teams
Name
Score
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5
×
Ushbu M(x)dx+N(y)dy=0 ko’rinishdagi differensial tenglamaga … differensial tenglama deyiladi.
o'zgaruvchilari ajralgan
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×
boom
Lose 50 points!
Oops!
×
magnet
Take 25 points!
Okay!
×
rocket
Go to first place!
Okay!
×
thief
Give points!
5
10
15
20
25
5
×
O'zgaruvchilari ajralgan differensial tenglamani toping 1) xydx-dy=0 2) xdx-ydy=0 3) dx+xydy=0 4) ydx+xdy
2
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10
×
xdx+ydy=0 differensial tenglamaning yechimini toping
x^2+y^2=C
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5
×
O'zgaruvchilari ajraladigan differensial tenglamani toping 1)(x+y)dx-dy=0 2) (x+y)dy 3) dx++xydy 4) ydx+(xydy
3
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×
trap
No points!
Oops!
×
gift
Win 25 points!
Okay!
×
rocket
Go to first place!
Okay!
×
baam
Lose 20 points!
Oops!
5
×
Erkli o‘zgaruvchi, noma’lum funksiya va uning hosilalarini (differensiallarini) bog‘lovchi tenglamaga … deyiladi.
Differensial tenglama
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×
baam
Lose 20 points!
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×
shark
Other team loses 25 points!
Okay!
×
rocket
Go to first place!
Okay!
×
thief
Give points!
5
10
15
20
25
15
×
xyy'=1- x2 differensial tenglamaning yechimini toping
x2/2 - ln|x|+y2/2=C
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15
×
xyy'=1-x^2 differensial tenglamaning yechimini toping
x^2/2-ln|x|+y^2/2=C
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10
×
2xy2dx-dy=0 differensial tenglamaning yechimini toping
y=-1/x2
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×
thief
Give points!
5
10
15
20
25
×
fairy
Take points!
5
10
15
20
25
×
fairy
Take points!
5
10
15
20
25
×
banana
Go to last place!
Oops!
5
×
Birinchi tartibli oddiy differensial tenglamaning umumiy ko‘rinishini toping.
F(x,y,y')=0
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5
×
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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15
×
2xdx- (3 y2 +1)dy=0
x2 - y3-y=C
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15
×
xdx+ydy=0 differensial tenglamaning yechimini toping
x2 + y2 =C
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×
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