- #1

issisoccer10

- 35

- 0

**[SOLVED] Integrating factors or separating the variables**

## Homework Statement

The following equation can be solved by intergrating factors or by separating the variables.

[tex]\frac{dy}{dx}[/tex] - [tex]\frac{y}{4x}[/tex] = 0

with the initial condition of y(2)=3

## Homework Equations

## The Attempt at a Solution

This problem is the final part of a question in which I am supposed to find the trajectory of a particle if it moves continuously in the directoin of maximum temperature increase. Setting the trajectory so that it is in the direction of the gradient allows me to figure out all the way to the point above. However, I cannot simplify the equation down further into a function of y in terms of x... any help would be greatly appreciated... thanks