Im stuck on this question, can someone please help me? u(t) = input power [W]. x(t) = temperature in plate [Celsius] v = 0, temperature of surroundings [Celsius] C = 400, heat capacity for plate [J/ Celsius] g = 2, heat transfer plate / air [W / Celsius] Question is something like this: You're playing with the heat plate (Kitchen). The plate might be considered like a flat heat element, that radiates heat to the surroundings. Find a differential equation for x(t). Nb: the change of temperature in the room migtht be neglected due to air circulation Should be on the form like: x'(t) = ax + bu I assume i need to use the ΔE = W + Q, but i kind of have no clue how to even start. I checked if there was a solutions manual but, it was partly broken. The only experience i have with modelling something with heat is the heat equation. But that's a partial differential equation, and only one-dimentional, and i 'm not sure how to handle two functions in one equation?