Solve du/dt =DT/
du=cv.dtdu = cv.dtdu=cv.dt (for an ideal gas)
dudt=cv\dfrac{du}{dt} = cvdtdu=cv
dudt=DT/DU×D²U/D²T\dfrac{du}{dt} = DT/DU × D²U/D²Tdtdu=DT/DU×D²U/D²T
dUdT=cv\dfrac{dU}{dT }= cvdTdU=cv
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