a$.$ Obtain the equations.

b$.$ Draw the block diagram when $\backslash ($ Q$\_\{3\}($s$)\backslash )$ is the output and $\backslash ($ Q$($s$)\backslash )$ is the input.

Q$2)$ Recreate the thermal system that was demonstrated in the laboratory session. This system includes a Thermal Mass, Convective and Conductive Heat Transfer, Temperature Sensor, Temperature Source, and Controlled Heat Flow Rate Source blocks. Please use the related Simulink file provided on Ninova. When constructing your system, use the provided blocks without altering their parameters. Also, ensure that your simulations run for a sufficient amount of time to gather meaningful data.

a$.$ Task $1$:

$-$ Construct the system using the Temperature Source block. Do not include any Controlled Heat Flow Rate Source blocks. Ensure other essential components like the Thermal Mass, Heat Transfer mechanisms, and Temperature Sensor are part of your setup.

$-$ Plot the temperature signal obtained from the simulation.

$-$ Analyze and comment on the results observed. Explain what is happening.