Question: How do I solve these ODEs?

So I've solved this system of ODEs already in a certain gauge where h[r](r) was set to zero, and my answer was consistent with a previously calculated solution, but now I'm trying to do it with a non-zero h[r](r).

The previous result Maple easily solved with dsolve, but puting that in this time, I get:

ode := [-1/2*(4*h[v](r)*r+4*h[r](r)*r-2*diff(h[v](r),`$`(r,2))*r^3-2*h[2](r)*6-2*h[r](r)*6*r+diff(h[2](r),r)*6*r+4*h[2](r)-2*diff(h[2](r),r)*r)/r^3=0,

-1/2*(2*(1-2*M/r)*diff(h[v](r),`$`(r,2))*r^2+4*h[v](r)-4*h[v](r)*(1-2*M/r)-2*h[v](r)*6)/r^2=0,

(-(1-2*M/r)*diff(h[2](r),`$`(r,2))*r^2+3*diff(h[2](r),r)*(1-2*M/r)*r-diff(h[2](r),r)*r+2*(1-2*M/r)*diff(h[r](r),r)*r^2+2*diff(h[v](r),r)*r^2+2*h[2](r)-4*h[2](r)*(1-2*M/r)-2*h[r](r)*(1-2*M/r)*r+2*h[r](r)*r)/r^2=0];

Which gives an aswer of:

{h[2](r) = h[2](r), h[v](r) = -1/2*(-2*h[r](r)*r+diff(h[2](r),r)*r-2*h[2](r))*(-r+2*M)/r^2}

This is clearly not something I can really work with.

My knowledge of Maple is limited, anyone able to give me a hint in the right direction?

Thanks.