A first order ODE with 2 boundery conditions????
You also have a unit problem: When calculating exp(X), X must be unitless, that means that B*V(x) is unitless and so the unit of V(x) will have to be Joule (1/UnitsOf(B)). The unit of the RHS is the the unit of A, which is Pascal. When V(x) are Joule, the LHS has the Unit Newton (J/m). You have different units on both sides which is not possible. And to top it your initial conditions say that V(x) should have the unit volt - the second actually says it has unit volt squared - you would have to delete the extra V you added as Vd already are volt. But you can't have two BC for an ODE of first order anyway.
Some additional remarks:
Use the prime symbol instead of the differentiation operator.
Define the range for x (which is only meaningful to be used for the plot) after the solve solve block. To define a range with units, you have to give the unit for the first and second value as well.