- . .
2- : y +p∙y +q∙y=0
2 , .
y=ekx. - - 2 , , : k2∙ekx+p∙k∙ekx+q∙ekx=0
. .
30. . 2- .
y y* ŷ=c1y1+c2y2
y=y*+ ŷ
31.
y=y*+ ŷ
y* , ŷ , .
32. .
. , , - . . n - y1, y2,, yn, .
-
fi(x; y1; , yn) yi . . D ((n+1)- ), . M0( ., , y1=φ1(x), y2=φ2(x), , yn=φn(x) , .
. .
- 2- .
D - Oxy . z = f(x;y). D n Di, ∆Si, di. Di . . Mi(xi;yi) f(xi;yi) . ∆Si. f(x1;y1)∆Si + f(x2;y2)∆Si + + f(xn;yn)∆Sn = ∑ f(xi;yi)∆Si f(x;y). . lim, n → ∞, max di → 0. lim Ǝ . . D , , . . :
-: - z = f(x;y) . D, .