Can't plot 6 differential equation solution

I have the following 6*6 system:

I am trying to plot the functions x1,x2x,3x,4x,5x,x6 when the other parameters are given. The initial conditions are x1(0)=x2(0)=x3(0)=x4(0)=x5(0)=x6(0)=0. However when I solve it it takes ages to calculate and matlab said: Warning: "Explicit solution could not be found; implicit solution returned. " and I get an empty graph. If anyone can tell me what is the problem and if I have enough data to even solve the system, or what is the way to get the result for that system that would be great

code below:

clc clear all

E1=25; E2=12;

C1=33e-6; C2=C1; C=1500e-6; R=5;

L1=340e-6; L2=L1; L=300e-6;

D1=10; D2=55;

d1=D1/100; d2=D2/100;

syms x1(t) x2(t) x3(t) x4(t) x5(t) x6(t)

eq1=diff(x1,t)==(E1+x4(t)*(d1-1)+x5(t)*(d2-d1)+x6(t)*(d2-1))/L1; eq2=diff(x2,t)==(E2+x5(t)*(d2-1-d1)+x4(t)*d1+x6(t)*(d2-1))/L2; eq3=diff(x3,t)==(d1*x4(t)+x5(t)*(d2-d1)-x6(t)*(1-d2))/L; eq4=diff(x4,t)==(-d1*x3(t)-d1*x2(t)+(1-d1)*x1(t))/C1; eq5=diff(x5,t)==((1-d2+d1)*x2(t)-(d2-d1)*x1(t)-(d2-d1)*x3(t))/C2; eq6=diff(x6,t)==((1-d2)*(x1(t)+x2(t)+x3(t))-x6(t)/R)/C;

eq=[eq1;eq2;eq3;eq4;eq5;eq6];

con1=x1(0)==0; con2=x2(0)==0; con3=x3(0)==0; con4=x4(0)==0; con5=x5(0)==0; con6=x6(0)==0; conds=[con1;con2;con3;con4;con5;con6];

sol=dsolve(eq,conds); fplot(sol.x1);