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dsolve unable to find symbolic solution to sets of ODE

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RITIKA Jaiswal
RITIKA Jaiswal el 19 de Sept. de 2022
Comentada: RITIKA Jaiswal el 19 de Sept. de 2022
Hi all,
I have been trying my hand at matlab recently and encountered an error while attempting to solve an ordinary differential equation. The equation I am trying to solve is in the picture attached.
I am getting like this after running this code
clear all;
clc;
close all;
syms g(x) u(t) x1(t) x2(t) x3(t) x4(t) x5(t) x6(t) x7(t) x8(t) x9(t) x10(t);
g(x)=exp(40*x)+x-1;
A =[-g(x1)-g(x1-x2)+exp(-t); g(x1-x2)-g(x2-x3);g(x2-x3)-g(x3-x4);g(x3-x4)-g(x4-x5);g(x4-x5)-g(x5-x6);g(x5-x6)-g(x6-x7);g(x6-x7)-g(x7-x8);g(x7-x8)-g(x8-x9);g(x8-x9)-g(x9-x10);g(x9-x10)]
ode1 = diff(x1,t)==[-g(x1)-g(x1-x2)];
ode2= diff(x2,t)== g(x1-x2)-g(x2-x3);
ode3= diff(x3,t)== g(x2-x3)-g(x3-x4);
ode4= diff(x4,t)== g(x3-x4)-g(x4-x5);
ode5= diff(x5,t)== g(x4-x5)-g(x5-x6);
ode6= diff(x6,t)== g(x5-x6)-g(x6-x7);
ode7= diff(x7,t)== g(x6-x7)-g(x7-x8);
ode8= diff(x8,t)== g(x7-x8)-g(x8-x9);
ode9= diff(x9,t)== g(x8-x9)-g(x9-x10);
ode10= diff(x10,t)== g(x9-x10);
odes=[ode1;ode2;ode3;ode4;ode5;ode6;ode7;ode8;ode9;ode10]
S = dsolve(odes)
after running the code i am getting like this what should i do?
Warning: Unable to find symbolic solution.
> In dsolve (line 209)
In deexamp (line 18)
S =
[ empty sym ]

Respuesta aceptada

Torsten
Torsten el 19 de Sept. de 2022
The equations are much too difficult and the size of your ODE system is much too large to be solved symbolically.
Use a numerical solver, e.g. ODE15S.

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