In each of Problems 25 through 31: (a) Find an integrating factor and solve the given equation. (b) Use a computer to draw several integral curves.

#14). Need help solving problem.

A pension fund has a liability of £65000 to be paid precisely in 4 years time. It wants to Reddington immunise this liability with P 3-year zero coupon bonds and Q 5-year zero coupon bonds, where P and Q are to be determined. Interest is compounded continuously with rate 2%. Write down the two equations that P and Q need to satisfy for Reddington immunisation and solve these equations for P and Q.

Problem 8. Water flows into a tank at 6t2 + 1 gallons per minute for 0 < t< 2, with t in minutes. If the tank held 32 gallons when t water, in gallons, was in the tank when t = 1? 2, how much