ANSWER
The particular solution is:

EXPLANATION
The given Ordinary Differential Equation is

The general solution to this Differential equation is:

To find the particular solution, we need to apply the initial conditions (ICs)

This implies that;




Hence the particular solution is

Answer:
Step-by-step explanation:

Answer:
0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

Uniformly distributed over the interval 40 to 75 minutes.
This means that 
It is known that the cycle time exceeds 45 minutes
This means that we can use 
What is the probability that the cycle time exceeds 50 minutes?

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes
The answer is 500 becuase it is