Order of boundary conditions in dsolve command

I have a set of three linear ODEs. The first ODE involves 2nd derivative of u_1(x_1). The second ODE involves 4th order derivatives of u_2(x_1) and u_3(x_1). Total ten boundary conditions are available to solve this system of equations. For analytical solution of this system using dsolve, can I solve them directly or do I have to convert these ODEs into a set of first order equations?

Here, p_1 = 0, p_2 = 0, q_2 = 0, q_3 = 0, P_1 = 0, P_2 = 0, P_3 = 0