# How do you find the general solution of the differential equation #dy/dx=2x^-3#?

##### 1 Answer

Nov 11, 2016

# y = -1/x^2 + C #

#### Explanation:

This is a First Order separable DE, so we can rearrange and separate the variables as follows:

# dy/dx = 2x^-3 #

# :. intdy = int2x^-3dx #

Integrating gives:

# y = (2x^-2)/-2 + C #

# :. y = -1/x^2 + C #