6- tajriba mashg’ulot


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5 TAJRIBA ISHLARI

x:=x+h;
writeln;
write(' x(',i,')=',x:8:4);
WRITE(' y(',i,')=',Y:8:4);
end;
writeln;
writeln(' ENTER tugmasini bosing');
readln;
end.
MUSTAQIL ISHLASH UCHUN TOPSHIRIQLAR
(9a-19 TJA 1-35 variantlar)
(9b-19 TJA 36-75 variantlar)
(10-19 TJA 76-90 variantlar)
Quyidagi birinchi tartibli differentsial tenglamalar uchun Koshi masalasini ko'rsatilgan kesmada h=0,1 bo‘lganda:

  1. Eyler usulida.

  2. Eylerning ketma-ket yaqinlashish usulida.

  3. Eylerning takomillashtirish usulida.

  4. Runge-Kutta usulida.

Taqribiy yechimini toping.


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y'=x/(x+y)
y(0)=1,
Xϵ [0,1]

y'-2y=3ex y(0,3)=1,415 Xϵ [0,1;0,5]

y'=x+y2 y(0)=0,
Xϵ [0;0,3]

y'=y2-x2
y(1)=1, Xϵ[1;2]

y'=x2+y2
y(0)=0.27
Xϵ [0;1]




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y'+xy(9-y2)=0
y(0)=0.5
Xϵ [0;1]

y'=x2-xy+y2 y(0)=0.1
Xϵ [0;1]

y'=(2y-x)/y y(1)=2
Xϵ [1;2]

y'=x2+xy+y2+1 y(0)=0 Xϵ [0;1]

y'+y=x3 y(1)=-1
Xϵ [1;2]




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y'=xy+ey y(0)=0 Xϵ [0;0.1]

y'=2xy+x2 y(0)=0 Xϵ [0;0.5]

y'=x+ y(0)=1, [0;1]

y'=ex-y2 y(0)=0 Xϵ [0;0.4]

y'=2x+cosy y(0)=0 Xϵ [0;0.1]




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y'=x3+y2 y(0)=0.5 Xϵ [0;0.5]

y'=xy3-y y(0)=1 Xϵ [0;1]

y'=y2ex-2y y(0)=1 Xϵ [0;1]

y'= y(1)=0,
Xϵ [1;2]

y'= y(1)=1,
Xϵ [1;2]




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y'=excosy/x y(1)=1 ,
Xϵ [1;2]

y'=exsiny/x y(1)=1 Xϵ [1;2]

y'cosx-ysinx=2x y(0)=0 Xϵ [0;1]

y’=ytgx- y(0)=0 ,
Xϵ [0;1]

y'+ycosx=cosx y(0)=0
Xϵ [0;1]




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y’=
y(0)=0,
Xϵ [0;1]

y'=(9+ )2 y(1)=1,
Xϵ [1;2]

xy'- -x=0 y(1)=1/2,
Xϵ [1;2]

y'= (9+lny-lnx) y(1)=e ,
Xϵ [1;2]

y3xdx=(x2y+2)dy y(0.348)=2 Xϵ [0;1]






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y'=x/(x+y)
y(0)=3,
Xϵ [0,1]

y'-2y=3ex y(0,3)=1,4
Xϵ [0,1;0,5]

y'=x+y2 y(1)=0,
Xϵ [0;0,3]

y'=y2-x2
y(1)=0,
Xϵ [1;2]

y'=x2+y2
y(0)=2
Xϵ [0;1]




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y'+xy(9-y2)=0
y(0)=5
Xϵ [0;1]

y'=x2-xy+y2 y(0)=1
Xϵ [0;1]

y'=(2y-x)*y y(0)=2
Xϵ [1;2]

y'=x2+xy+y2+1 y(0)=5
Xϵ [0;1]

y'+y=x3 y(1)=-2
Xϵ [1;2]




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y'=xy+ey y(0)=0 [0;0.1]

y'=2xy+x2 y(0)=0 [0;0.5]

y'=x+ y(0)=1, [0;1]

y'=ex-y2 y(0)=0 [0;0.4]

y'=2x+cosy y(0)=0 [0;0.1]




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y'=x3+y2 y(0)=0.5 Xϵ [0;0.5]

y'=xy3-y y(0)=1 Xϵ [0;1]

y'=y2ex-2y y(0)=1 Xϵ [0;1]

y'= y(1)=0, [1;2]

y'= y(1)=1, [1;2]




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y'=excosy/x y(1)=1 ,
Xϵ [1;2]

y'=exsiny/x y(1)=1 Xϵ [1;2]

y'cosx-ysinx=2x y(0)=0 Xϵ [0;1]

y’=ytgx- y(0)=0 ,
Xϵ [0;1]

y'+ycosx=cosx y(0)=0 Xϵ [0;1]




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y’=
y(0)=0,
Xϵ [0;1]

y'=(9+ )2 y(1)=1,
Xϵ [1;2]

xy'- -x=0 y(1)=1/2,
Xϵ [1;2]

y'= (9+lny-lnx) y(1)=e ,
Xϵ [1;2]

y3xdx=(x3y+2)dy y(0.48)=2 Xϵ [0;1]






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y'=x/(x+y)
y(0)=1,
Xϵ [0,1]

y'-2y=3ex y(0,3)=1,15
Xϵ [0,1;0,5]

y'=x+y2 y(0)=0,
Xϵ [0;0,3]

y'=y2-x2
y(1)=1,
Xϵ [1;2]

y'=x2+y2
y(0)=0.7
Xϵ [0;1]




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y'+xy(9-y2)=0
y(0)=0.5
Xϵ [0;1]

y'=x2-xy+y2 y(0)=0.1
Xϵ [0;1]

y'=(2y-x)/y y(1)=2
Xϵ [1;2]

y'=x2+xy+y2+1 y(0)=0
Xϵ [0;1]

y'+y=x3 y(1)=-1
Xϵ [1;2]




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y'=xy+ey y(0)=0 Xϵ [0;0.1]

y'=2xy+x2 y(0)=0
Xϵ [0;0.5]

y'=x+ y(0)=1,
Xϵ [0;1]

y'=ex-y2 y(0)=0 Xϵ [0;0.4]

y'=2x+cosy y(0)=0 Xϵ [0;0.1]




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y'=x3+y2 y(0)=0.5 Xϵ [0;0.5]

y'=x*y3-y y(0)=1 Xϵ [0;1]

y'=y2ex-2y y(0)=1 Xϵ [0;1]

y'= y(1)=0,
Xϵ [1;2]

y'= y(1)=1,
Xϵ [1;2]




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y'=excosy/x y(1)=1 ,
Xϵ [1;2]

y'=exsiny/x y(1)=1 Xϵ [1;2]

y'cosx-ysinx=2x y(0)=0 Xϵ [0;1]

y’=ytgx- y(0)=0 ,
Xϵ [0;1]

y'+ycosx=cosx y(0)=0 Xϵ [0;1]




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y’=
y(0)=0,
Xϵ [0;1]

y'=(9+ )2 y(1)=1,
Xϵ [1;2]

xy'- -x=0 y(1)=1/2,
Xϵ [1;2]

y'= (9+lny-lnx) y(1)=e ,
Xϵ [1;2]

y3xdx=(x2y+2)dy y(0.8)=2 Xϵ [0;1]




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