如何用dsovle编译下面的式子

Question

Answer 1

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