Consider the differential equation: (3xe−1/y3+5x3)+(28x−1y3+3x2y−4e−1/y 3)y′=0. This equation is not exact because My= does not equal Nx= . Find an integrating factor, μ, to make the equation exact. Do not include an arbitrary constant in your answer for μ. By assuming that μ is a function of only $$ (enter x or y), we get that μ= $$ . Using the integrating factor, we get that the general solution is Ψ(x, y)= $$ =C.

An engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 120 lb and 161 lb. the new population of pilots has normally distributed weights with a mean of 125 lb and a standard deviation of 28.1 lb. a)if a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb.the probability is approximately? b. if 36 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 161 lb. the probability is approximately? c. when redesigning the ejection seat, which probability is more relevant? . part (b) because the seat performance for a single pilot is more important. b. part (b) because the seat performance for a sample of pilots is more important. c. part (a) because the seat performance for a sample of pilots is more important. d. part (a) because the seat performance for a single pilot is more important.