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I am doing some work with temperature equations. I have a book that gives an equation and then manipulates it. However, I can not follow what the author does, so can anyone help:

He starts with:

dT/dt = Q/MC - (T-O)/RMC

(in the following I use the text "delta" to represent lower case delta)

He then says he solves this for delta T (change in temperature), due to a step change in source temperature (delta O).

The equation then becomes:

delta T(t) = delta O (1- e^(-t/RMC))

I use this 2nd equation in my work, but just cant follow how the author jumps from the 1st eqn to this one.

I 'solve' the original ODE - but it comes no where near what he gets.

Any help would be great.

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# ODE, step change, Heat transfer

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