1. The problem statement, all variables and given/known data Solve the DE subject to y(1)=0. Forconvenience let k=v_r/v_s. First let me apologize for the way it is written but I don't know how to use software like other on other posts I see. 2. Relevant equations (dy/dx)= (v_s*y - v_r*sqrt(x^2+y^2)) / (v_s*x) this may be more visual dy v_s*y - v_r*sqrt(x^2+y2) --=-------------------------- dx v_s*x 3. The attempt at a solution I have about ten steps where I try to solve this problem. It is from the textbook :A First Course in Differential Equations" by Dennis Zill in section 3.2 #27. I think it is a seperable equation but I cannot get it to a form where I can solve the intial value problem. It is a horrible feeling to be stuck on the algebra of all things. Help is appreiciated. I need to learn how to do this so I can pass the midterm.