1. The problem statement, all variables and given/known data This is the eqn I need to solve: (dy/dx)^1.7 = c 2. Relevant equations 3. The attempt at a solution 1) 1.7ln(dy/dx) = c [since 'c' is an arbitrary constant, i'm writing ln(c) as 'c' itself] 2)ln(dy/dx) = c/1.7 3)dy/dx = e^(c/1.7) 4)y = xe^(c/1.7) Now, the above solution says that y is a linear function of x. The solution is similar to what we obtain for "dy/dx = c", i.e. another linear solution. So I'm beginning to wonder whether what I did was correct. Can anyone help?