First-order nonlinear ordinary differential equation

[sam_89]

hii,
how to solve this differential equation:

A*(dT(x)/dx)(1873.382+2.2111T(x))=90457.5-2.149*10^-10* (T(x))^4
where A is a constant

Thank you

 

[Ackbach]

It's separable. You could try to integrate it that way:

$A \frac{1873.382+2.2111T}{90457.5-2.149\times 10^{-10} \, T^{4}} \, dT = dx$