Question: 2. A small metal bar, whose initial temperature was 25 C, is dropped into a large container of boiling water. It is known that its

2. A small metal bar, whose initial temperature was 25\" C, is dropped into a large container of boiling water. It is known that its temperature increases 5" in 1 second? (a) Specify the first order differential equation as an IVP which describes the warming process. (b) Find the Solution of the NP. (c) How long will it take the bar to reach 90" C? 5. A mass weighing 4 pounds stretches a spring 2 feet. The medium offers a damping force that is numerically equal to the instantaneous velocity. If the weight is released from rest 18 inches above the equilibrium position, then (a) Specify the second order DE as an IVP which describe the above mass-spring system. (b) Solve the IVP and nd the position of the mass at any time t

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