Let T Represent the Number of Hours That a Packing $y ^ { \prime }$

question 1

Multiple Choice

Let t represent the number of hours that a packing machine is operated and y(t) represent the probability that the machine breaks down at least once during the t hours of operation. It has been observed that the rate of increase of the probability of a breakdown is proportional to the probability of not having a breakdown. Find a differential equation describing this situation.

• A) \(y ^ { \prime }\) = ky; There is not enough information given to determine initial conditions.
• B) \(y ^ { \prime }\) = ky; y(0) = 0
• C) \(y ^ { \prime }\) = k(1 - y); There is not enough information given to determine initial conditions.
• D) \(y ^ { \prime }\) = k(1 - y); y(0) = 0
• E) \(y ^ { \prime }\) = (1 + y); y(0) =0

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