Matlab help. Parts a through d (highlighted in green)

A) Evolution of tomperature in a building (andytikal trolber) we consider a builloing that contains two different rooms I and 2 as stown belaw The thermal energy in a room is a function of room temperature. We denote the temperatures Cin Celsiss) of the roons as 1(t),2(t). The themal capacties of roan 1 and 2 are respectirely S1=4.3105.J/K,S2=7.9105J/K The thermal resistances of rooms 1,2(W/ respect to the autside) are given by R1=0.03%W,R2=0.01%W. The thermal resistances of the walls between room land 2 is R12=0.010/W. Room 2 has a heater that generates a themal power P=2.8kw=2800W we recall some vseful formulas - thermal enery = temperature F thermal capacity - thermal piver: temperatue difference / thermal resistance - st primaple of themodynamia conservation of energy): the change of themal exray of a system between 2 times is equal to eneryy enterng the system minus the energy exiting the system We assume outsibe temperature is 0=10C a) Express conservation of energy in power form: rate of change of thermal energy= power in- paver out. Do this for both rooms. (Htint] Paver conversion for room 1: Rate of charge of thermal enorgy=power in-power out dtdE1=Pin(t)Pout(t) b) Vse matlab's deolve() to Solve this system of diffoential equations Ar power conservation for rooml and room 2, a ssuming that the intial tempertiures of the rooms are 1=2=12c [Hint: use vpa lvariablea ndigitis to approsimate expressiens w/\# of argits n digits] c) Substitute t=0in the result from b) and equate tt to 12 as per initral temperature of the room to find C1 and C2. d) After how long will each room be comfortable enouph to werkin? The miniowon comfortable temperature is 18 degrees