Matlab：在条件不工作的情况下求解

Question

我正在尝试求解由变量 eqn1 和 eqn2 给出的微分方程组。

lambda1 = 3;
lambda2 = 2;
gamma1 = 1;
gamma2 = 1;
delta1 = 1;
delta2 = 1;

syms n1(t) n2(t)
eqn1 = diff(n1) == (lambda1 - gamma1)*n1 - delta1*(n1 + n2)*n1;
eqn2 = diff(n2) == (lambda2 - gamma2)*n2 - delta1*(n1 + n2)*n2;

c1 = n1(0) == 10;
c2 = n2(0) == 10;
[a, b] = dsolve(eqn1, eqn2, c1, c2)

如果我不指定条件 c1 和 c2 以及运行只是：

[a, b] = dsolve(eqn1, eqn2)

然后一切正常，我得到：

a =

(6*exp(2*t)*n1(0))/(3*exp(2*t)*n1(0) + 4*exp((3*t)/2)*n2(0) + 6)


b =

(6*exp(t/2)*exp(t)*n2(0))/(3*exp(2*t)*n1(0) + 4*exp((3*t)/2)*n2(0) + 6)

但是当我尝试指定 n1(0) 和 n2(0) 时，如您在源代码中所见，我收到以下警告：

a =

Warning: The result cannot be displayed due a previously interrupted     computation or out of memory. Run 'reset(symengine)' and rerun the commands to regenerate the result. 
> In sym.disp at 36
  In sym.display at 37
  In competingForResources at 15 

b =

     []

而且我无法绘制结果。我在那里错过了什么？如何以正确的方式指定条件，以便获得可绘制的结果？

Answer 1

您可以使用 subs

直接替换结果中的值

[a, b] = dsolve(eqn1, eqn2);
a=subs(a,'n1(0)',10);
a=subs(a,'n2(0)',10)

a =

(60*exp(2*t))/(30*exp(2*t) + 40*exp((3*t)/2) + 6)

同b

Matlab：在条件不工作的情况下求解

Matlab: dsolve with conditions not working

matlab

symbolic-math

differential-equations

dsolve