Question: Non-trivial solutions?

I'm trying to solve the following ode:

[-5*e4(r)*E+3*r*e5(r)*dE-5/3*r*e8(r)*dE+2*e7(r)*E+3*e1(r)*E-4/3*r*e2(r)*dE = 0, 1/3*1/r*(3*r^2*e5(r)*dE-6*r*e4(r)*E-12*M*e7(r)*E+10*M*r*e8(r)*dE-3*r^2*e1(r)*dE+6*M*e4(r)*E-3*M*r*e5(r)*dE+6*r^2*e4(r)*dE+8*M*r*e2(r)*dE-18*M*e1(r)*E-r^2*e2(r)*dE+6*r*e7(r)*E-5*r^2*e8(r)*dE) = 0, 1/3*r*(4*e7(r)*E-5*r*e8(r)*dE-4*e4(r)*E+5*r*e5(r)*dE) = 0, r^2*e2(r)*dE-2*r*e1(r)*E+1/3*r^2*e4(r)*dE+2/3*r^2*e7(r)*dE-8/3*M*e7(r)*E+10/3*M*r*e8(r)*dE+2/3*r*e4(r)*E-1/3*r^2*e5(r)*dE+4/3*r*e7(r)*E-5/3*r^2*e8(r)*dE = 0, -4*r*e2(r)*dE+6*e1(r)*E-6*e4(r)*Epsilon(v)+4*r*e5(r)*dE = 0, -1/3*r*(6*r*e4(r)*E-4*r^2*e5(r)*dE-6*r^2*e7(r)*dE+8*M*e7(r)*E-15*M*r*e8(r)*dE-6*r*e7(r)*E+10*r^2*e8(r)*dE) = 0]

But when I use dsolve on this it just spits out that all the functions are zero.  Is there a way to tell maple not to give me trivial solutions like this?  Thanks.