代码供参考
syms y(x)
dy=diff(y);
y = dsolve(diff(y,2)+2*dy+2*y, [y(0)==1; dy(0)==0])
syms f(t) g(t)
[f,g] = dsolve([diff(f)-f-g; diff(g)+f-g], [f(0)==2, g(2)==5])
结果:
y =
exp(-x)*(cos(x) + sin(x))
f =
2*exp(t)*cos(t) + (cos(t - 2)*exp(t))/cos(2) - (cos(t + 2)*exp(t))/cos(2) + (5*exp(-2)*exp(t)*sin(t))/cos(2)
g =
(sin(t + 2)*exp(t))/cos(2) - (sin(t - 2)*exp(t))/cos(2) - 2*exp(t)*sin(t) + (5*exp(-2)*exp(t)*cos(t))/cos(2)
如有帮助,还望采纳哟,谢谢啦