# First order nonlinear DE

dear friends,
i need to solve analitically(also by means of approximate methods) the following nonlinear differential equation:
(A+BTs^(3))*dTs/dt+C*Ts^(4)=D

where Ts is a function of t. A, B, C and D are costants. the initial condition is Ts(0)=Ti.
I would be so grateful if anyone can help me.

Regards
Michele

You need to show your work first, that's how it works on this forum.

I will give you a hint anyway-- you can solve it using a technique you learned in calculus! It's that simple (that gave it away since you probably only learned that one method to solve de's when you were in calc).

the mentioned equation is the result of the integration of the heat diffusion eqaution following the approximate integral method. is it possible to use any methods to linearize this equation?

Defennder
Homework Helper
As DavidWhitBeck said, you don't have to resort to any fancy numerical methods at all. You're given a differential equation for which 't' does not appear at all, only Ts(t). What does that tell you about how to solve it?