find an equation of the curve that passes through the point (1,1) and whose slope at (x,y) is y^2/x^3

Answer 1

This means that:
dy/dx = y^2/x^3, and y(1)=1,
in the language of separation of variables.

Hint: use power rule for integration.

Also, see example to your previous question (under Billy):

http://www.jiskha.com/display.cgi?id=1300573436

Please, Catherine, Billy, Mark, Matthew, and Sally, use one single screen name if you want your posts to avoid confusion.