Differential equations question - possible integrating factor?

[tourjete]

Homework Statement

Solve the differential equation with the initial condition y(0) = 1

Homework Equations

3e^5xdy/dx = -25x/y²

The Attempt at a Solution

First I tried putting everything with an x or dx on one side and a y or dy on the other side, and solved for C. I got 0 as the constant, but when I plugged it into the online homework system it said I was wrong.

I thought about using an integrating factor, but that can only be used when the equation is in the form dy/dt + a(t)y = r(t), right? Meaning I can't use it here because there's a y² instead of a y?

 

[fzero]

The equation is separable, so your first approach is the right one. Can you show some of your work?