differentıal equatıon questıon The temperature variation of a building Tg(t) is governed by the following differential equationdTB (t)Q + K2[T; – TB(t)] – K¸[T;(t) – TẠ(t)] = cdtwhere Ts is the “set" temperature of the building, Q is such that the building is maintained at the"seť" temperature when the atmosphere is at constant temperature T,, K1 and K2 are constants, c isthe thermal capacity of the building and TA(t) is the temperature of the atmosphere at time t. If theatmospheric temperature fluctuates sinusoidally about the mean value To with an amplitude ofT1 (°C) and a period of 2n/w (hour), i.e.,TA(t) = To + T,sin(wt)determine the temperature variation of the building Tg(t). Note: Q, K1, K2, To, T1 and Ts areconstants.

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The temperature variation of a building Tg(t) is governed by the following differential equation dTg(t) Q + K2[Ts – Tg(t)] – K¼[Tg(t) – T,(t)] = c %3D dt where Ts is the “seť" temperature of the building, Q is such that the building is maintained at the "set" temperature when the atmosphere is at constant temperature To, K1 and K2 are constants, c is the thermal capacity of the building and TA(t) is the temperature of the atmosphere at time 1. If the atmospheric temperature fluctuates sinusoidally about the mean value To with an amplitude of T1 (°C) and a period of 27/w (hour), i.e.,

The temperature variation of a building Tg(t) is governed by the following differential equation dTg(t) Q + K2[Ts – Tg(t)] – K¼[Tg(t) – T,(t)] = c %3D dt where Ts is the “seť" temperature of the building, Q is such that the building is maintained at the "set" temperature when the atmosphere is at constant temperature To, K1 and K2 are constants, c is the thermal capacity of the building and TA(t) is the temperature of the atmosphere at time 1. If the atmospheric temperature fluctuates sinusoidally about the mean value To with an amplitude of T1 (°C) and a period of 27/w (hour), i.e.,