A problem from a heat transfer book with conduction and radiation led me to a differential equation like this:(adsbygoogle = window.adsbygoogle || []).push({});

T'(t) = a - b*T(t) - c*T(t)^4

Although my professor said that there wouldn't be an analytical solution for this one and to get the answer by an iterative method I got curious and tried Wolfram Alpha. For my surprise it gave a solution, but I just can't understand the answer and neither the steps for solving it

Here it is:

http://www.wolframalpha.com/input/?i=T'(t)+=+a+-+b*T(t)+-+c*T(t)^4

Could anyone give me some light here?

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# First-Order Nonlinear ODE from transient heat transfer

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