Is this differential equation separable?

[-EquinoX-]

Homework Statement

Is the following separable?
http://img90.imageshack.us/img90/3925/separable.th.jpg

how do I know if it is?

Homework Equations

The Attempt at a Solution

 

[Dick]

Yes, it is separable. Use the laws of logarithms. ln(s^(5t))=(5t)*ln(s). Now separate it.

 

[-EquinoX-]

how do you go on separating it after that? my guess would be:

the 8t^4 confuses me

 

[Dick]

What do you get after you apply the log law? Factor out the t^4. The question is just asking whether it's separable.

 

[-EquinoX-]

t^3*(5t)*ln(s) + 8t^4

 

[Dick]

t^3*(5t)*ln(s) + 8t^4

Well? Keep going. t^3*5*t=5t^4...