Assignment:
Solve the following differential equation:
c(dT/dt) + v(T-Teq) = a0sin(wt)
In this equation, c is effective heat capacity, T temperature, t time, Teq is equilibrium temperature, v, a0 and w are constants. Please derive an expression for T(t) in terms of the constants and show all the steps in the derivation.
Provide complete and step by step solution for the question and show calculations and use formulas.