1. The problem statement, all variables and given/known data U_x+U_y=1 with boundary condition U(y,y/2)=y 2. Relevant equations 3. The attempt at a solution Well first I solved the homogeneous solution and got ax-ay where a is just a constant. Then for the non homogeneous solution I got ax+(1-a)y. After adding them both together and pluggin in the boundary condition I got U=x+(0)y? Is that right?