1. The problem statement, all variables and given/known data Hello I am new to this forum, but I hope I can get help with a problem I haven't been able to figure out what to do with. info: we have a one dimensional equation -d/dx [a(x) du/dx] = p(x) where we seek a solution u(x) where x is within [0,1] , that satisfies the 2 boundary conditions u(0) = 0, u(1) = 0 p and a is given by a(x) = 1 and p(x) = 1 any help with this problem would be very nice. On beforehand thanks 2. Relevant equations 3. The attempt at a solution My thought was to first find a general solution to the equation and then insert the conditions given. I have a hard time finding a general solution to the equation (-d/dx [a(x) du/dx] = p(x) ) so I feel a little stuck on how to approach it.