Explicit solution not found

I tried to solve the following differential equation, but it's not giving any solution. Can anyone help?

syms V(x) x a b td L dD ga
dx=((td.*x)/(L-dD)).*exp(ga*((td.*x)/(L-dD))-(L-dD));
DV=diff(V);
ode=diff(V,x,2)==b-((a/dx)*V);
cond1 = V(0) == 0;
cond2 = DV(0) == 0;
conds = [cond1 cond2];
ySol(x) = dsolve(ode,conds);
ySol = simplify(ySol)

Output:

Warning: Explicit solution could not be found.

> In dsolve (line 201)

[Walter Roberson]

If there is a solution at all, it is difficult to find. Maple says it cannot find a useful solution even if you leave out the initial conditions.

[Swarnav Mukhopadhyay]

Yes there's a solution to this differential eqution, like if I neglect the exponential part in 'dx', it giving me solution, but with exponential term, it's not. So I think maybe there's something wrong in my method.

[Walter Roberson]

What leads you to expect that there is an explicit solution to the differential equation ? Leaving out the exponential part gets you to a different kind of equation.

[Swarnav Mukhopadhyay]

Actually this eqution came from Poisson's equation, after applying boundary condition I was hoping to get a solution out of it. Though I am not 100% sure if it would have a explicit solution, but as dx represent nothing but a distance with x and "V" would give a potential distribution along x, so I was thinking that there can be an explicit solution for which V can be find out as a function of x.

But can it be solved in some other way?