Final answer:
This is a second-order ordinary differential equation in Mathematics solved with a given boundary condition. By solving the differential equation with the boundary condition, the solution u(x) can be determined.
Step-by-step explanation:
The given equation is a second-order ordinary differential equation, which falls under the subject of Mathematics.
The equation is solved for a function u(x) such that the second derivative of u(x) with respect to x plus 2x squared equals zero.
The given boundary condition, u(L) = 1, determines the specific values of u at the upper limit L.
By solving the differential equation with the boundary condition, the solution u(x) can be determined.