Question

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

Answer 1

`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`