# Equation of a curve (help?)

1. Jan 9, 2010

### chakras

1. The problem statement, all variables and given/known data

Find the equation of the curve that passes through the point (1,3) and has a slope of y/x^2 at any point (x,y).

2. Relevant equations

Is there any general equation for the equation of the curve?

3. The attempt at a solution

the only problem in my hw im stuck at, do you have to integrate y/x^2? im quite confused as to how one could get the exact equation of this curve. any help would be appreciated

2. Jan 9, 2010

### payumooli

y' = y/x^2

ODE

solve and sub for constant using codition point (1,3) lies on y=f(x)

3. Jan 10, 2010

### HallsofIvy

Excellent suggestion.

Of course, this is dy/dx= y/x^2 which can be written as ydy= dx/x^2. Integrate both sides.