1. The problem statement, all variables and given/known data F = (x^2 / y) i + y j + k a) Use parametric equations to determine the equation for the flow line for the function F which passes thru the point (1,1,0) b) Show that the flow line also passes thru the point (e,e,1) 2. Relevant equations F = F1 i + F2 j + F3 k dx/F1 = dy/F2 = dz/F3 3. The attempt at a solution I didn't think parametric equations were actually needed here, but I think we're supposed to use them... Somebody told me x'[t] = x[t]2/y[t], y'[t] = y[t], z'[t] = 1 with the initial conditons that x = 1, y = 1, and z = 0. The solution is: x[t] = et, y[t] = et, z[t] = t Setting t = 1 proves part b of the problem. But I get dx/(x^2 / y) = dt dy/y = dt dz = dt Thus, -y/x = t + c1 => x = -y / (t + c1) ln|y| = t + c2 => y = c3e^t z = t + c4 where c1, c2, c3, c4 are constants What am I doing wrong? Also, why is t = 0?