Что делать надо?.....это уравнение?
Y' + y = e^x
<span>y' + y = 0 </span>
<span>y' = - y </span>
<span>dy/dx = - y </span>
<span>dy/y = - dx </span>
<span>ln|y| = - x = const </span>
<span>y = C(e^(-x)), C - const </span>
<span>y(x) = C(x)(e^(-x)) </span>
<span>y'(x) = C'(x)(e^(-x)) - C(x)(e^(-x)) </span>
<span>y' + y = e^x </span>
<span>C'(x)(e^(-x)) - C(x)(e^(-x)) + C(x)(e^(-x)) = e^x </span>
<span>C'(x)(e^(-x)) = e^x </span>
<span>C'(x) = e^2x </span>
<span>C(x) = (1/2)(e^(2x)) + D </span>
<span>y(x) = C(x)(e^(-x)) </span>
<span>y(x) = D(e^(-x)) + (1/2)(e^x)</span>
6 1/7 - (с + 2 4/7) = 2 5/7.
6 1/7 - с - 2 4/7 = 2 5/7
43/7 - с - 18/7 = 19/7
25/7 - 19/7 = с
с = 6/7