Inspiration
Высший разум
(141677)
3 недели назад
x'+xsint=cost , x(0)=1;
(e^(-cos(t))*x(t))' = e^(-cos(t))*cos(t);
e^(-cos(t))*x(t) = I(t) + C, где I(t) := Integrate[e^(-cos(x))*cos(x), {x,0,t}];
x(t) = e^(cos(t))*I(t) + C*e^(cos(t))
x(0) = 1, e*I(0) + C*e = 1; C = 1/e;
x(t) = e^(cos(t))*I(t) + e^(cos(t)-1).