Dsolve solves differential equation with a very long output, is something wrong?

Hi Matlab Community,

I am currently running version R2022a and I am trying to solve the following system of differential equations using dsolve by the following way:

The output (see image below) of the struct is so long that I cannot see it all entirely, seeing as the three dots in the end indicate that it continues. Have I done something wrong from the code or is there any way to expand/simplify so i can see the entire fields? I tried closing down any windows in matlab and still cannot see it all.

Thank you.

Answer 1

[Torsten]

syms lambda mu real positive
syms t p1(t) p2(t) p3(t)
eqn1 = diff(p1,t) == -5*lambda*p1 + mu*p2;
eqn2 = diff(p2,t) == 5*lambda*p1 -(4*lambda+mu)*p2;
eqn3 = diff(p3,t) == 4*lambda*p2;
cond1 = p1(0)==1;
cond2 = p2(0)==0;
cond3 = p3(0)==0;
sol = dsolve([eqn1,eqn2,eqn3],[cond1,cond2,cond3]);
simplify(sol.p1)

ans = 

simplify(sol.p2)

ans = 

simplify(sol.p3)

ans = 

simplify(sol.p1+sol.p2+sol.p3)

ans = 

1

[L_J]

Thank you for your reply. Interesting to learn how you made it simplified, I shall take good note. I am currently setting up to test on maple as well, will be interesting to see if the same answer is generated.

Have a good one!