6- tajriba mashg’ulot

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.

1		2	3		4		5
y'=x/(x+y) y(0)=1, Xϵ [0,1]	y'-2y=3e^x y(0,3)=1,415 Xϵ [0,1;0,5]			y'=x+y^2y(0)=0, Xϵ [0;0,3]		y'=y^2-x^2 y(1)=1, Xϵ[1;2]		y'=x^2+y^2 y(0)=0.27 Xϵ [0;1]
6	7			8		9		10
y'+xy(9-y^2)=0 y(0)=0.5 Xϵ [0;1]	y'=x^2-xy+y^2 y(0)=0.1 Xϵ [0;1]			y'=(2y-x)/y y(1)=2 Xϵ [1;2]		y'=x^2+xy+y^2+1 y(0)=0 Xϵ [0;1]		y'+y=x^3 y(1)=-1 Xϵ [1;2]
11	12			13		14		15
y'=xy+e^y y(0)=0 Xϵ [0;0.1]	y'=2xy+x^2 y(0)=0 Xϵ [0;0.5]			y'=x+ y(0)=1, [0;1]		y'=e^x-y^2 y(0)=0 Xϵ [0;0.4]		y'=2x+cosy y(0)=0 Xϵ [0;0.1]
16	17			18		19		20
y'=x^3+y^2 y(0)=0.5 Xϵ [0;0.5]	y'=xy^3-y y(0)=1 Xϵ [0;1]			y'=y^2e^x-2y y(0)=1 Xϵ [0;1]		y'= y(1)=0, Xϵ [1;2]		y'= y(1)=1, Xϵ [1;2]
21	22			23		24		25
y'=e^xcosy/x y(1)=1 , Xϵ [1;2]	y'=e^xsiny/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]
26	27			28		29		30
y’= y(0)=0, Xϵ [0;1]	y'=(9+ )^2y(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]		y^3xdx=(x^2y+2)dy y(0.348)=2 Xϵ [0;1]
31	32			33		34		35
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]
36	37			38		39		40
y'+xy(9-y^2)=0 y(0)=5 Xϵ [0;1]	y'=x^2-xy+y^2 y(0)=1 Xϵ [0;1]			y'=(2y-x)*y y(0)=2 Xϵ [1;2]		y'=x^2+xy+y^2+1 y(0)=5 Xϵ [0;1]		y'+y=x^3 y(1)=-2 Xϵ [1;2]
41	42			43		44		45
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]
46	47			48		49		50
y'=x^3+y^2 y(0)=0.5 Xϵ [0;0.5]	y'=xy^3-y y(0)=1 Xϵ [0;1]			y'=y^2ex-2y y(0)=1 Xϵ [0;1]		y'= y(1)=0, [1;2]		y'= y(1)=1, [1;2]
51	52			53		54		55
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]
56	57			58		59		60
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]		y^3xdx=(x^3y+2)dy y(0.48)=2 Xϵ [0;1]
61	62			63		64		65
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+y^2 y(0)=0, Xϵ [0;0,3]		y'=y^2-x^2 y(1)=1, Xϵ [1;2]		y'=x^2+y^2 y(0)=0.7 Xϵ [0;1]
66	67			68		69		70
y'+xy(9-y^2)=0 y(0)=0.5 Xϵ [0;1]	y'=x^2-xy+y^2 y(0)=0.1 Xϵ [0;1]			y'=(2y-x)/y y(1)=2 Xϵ [1;2]		y'=x^2+xy+y^2+1 y(0)=0 Xϵ [0;1]		y'+y=x^3 y(1)=-1 Xϵ [1;2]
71	72			73		74		75
y'=xy+ey y(0)=0 Xϵ [0;0.1]	y'=2xy+x^2 y(0)=0 Xϵ [0;0.5]			y'=x+ y(0)=1, Xϵ [0;1]		y'=ex-y^2 y(0)=0 Xϵ [0;0.4]		y'=2x+cosy y(0)=0 Xϵ [0;0.1]
76	77			78		79		80
y'=x^3+y^2 y(0)=0.5 Xϵ [0;0.5]	y'=x*y^3-y y(0)=1 Xϵ [0;1]			y'=y^2ex-2y y(0)=1 Xϵ [0;1]		y'= y(1)=0, Xϵ [1;2]		y'= y(1)=1, Xϵ [1;2]
81	82			83		84		85
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]
86	87			88		89		90
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]		y^3xdx=(x^2y+2)dy y(0.8)=2 Xϵ [0;1]