This is now first-order linear, so you can use the Integrating Factor method to solve...
A global warming model leads to the following equation for the average temperature of the
dT/dt = k1exp(k2t) - k3(T-T0);
where k1, k2, k3 are positive constants. Determine T(t), assuming that T(1) = T0.
Any assistance would be appreciated (:
My lecturer did not explain how to solve these equations very well and I have tried searching all over the internet for help on solving these equations but I have been unsuccessful and/or lead to more confusion.