1. The problem statement, all variables and given/known data Solve the Laplace equation in one dimension (x, i.e. (∂^2h)/(∂x^2)= 0) Boundary conditions are as follows: h= 1m @ x=0m h= 13m @ x=10m For 0≤x≤5 K1= 6ms^-1 For 5≤x≤10 K2 = 3ms^-1 What is the head at x = 3, x = 5, and x = 8? What is the Darcy velocity (specific discharge)? NOTE: There are multiple steps that will need to be done. Realize that system is heterogeneous. In a multiple layer system with steady-state conditions, Darcy velocity in one layer must equal the Darcy velocity in the other layers 2. Relevant equations h(x) = ho - [(h0 - hD )/D]*x 3. The attempt at a solution I tried to use the equation above subbing in 3, 5, and 8 for the x and using 10m as D, 1m as h0, and 13m for hD Then I used the specific specific discharge for the Darcy's velocity (q=K(dh/dL)) That was apparently all wrong. Apparently this needs to be broken into 2 systems, coupled. Each individual system can be treated as homogenous. So it need two separate LaPlace equations? I really don't know what to do with this problem, please help!