How to derive this equation for Process Dynamics and Control?

$\frac{m{m}_e{C}_e}{w{h}_e{A}_e}\frac{d^{2}T}{d{t}^2}+(\frac{m_e{C}_e}{h_e{A}_e}+\frac{m_e{C}_e}{wC}+\frac{m}{w})\frac{dT}{dt}+T$

$=\frac{m_e{C}_e}{h_e{A}_e}\frac{d{T}_i}{dt}+T_i+\frac{1}{wC}Q$

$\frac{m{m}_e{C}_e}{w{h}_e{A}_e}\frac{d^{2}T}{d{t}^2}+(\frac{m_e{C}_e}{h_e{A}_e}+\frac{m_e{C}_e}{wC}+\frac{m}{w})\frac{dT}{dt}+T$

$=\frac{m_e{C}_e}{h_e{A}_e}\frac{d{T}_i}{dt}+T_i+\frac{1}{wC}Q$