Initial value problem
Describe that the initial value problem x'=x^(1/3), x(0)=0 has an infinite number of solutions. (Hint: Construct a solution that stays at x=0 until some arbitrary time t0, after which it takes off.)
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Compute the annual amount that Paul can spend while on his world tour if he will have no money left in the bank when he dies? Suppose Paul has a remaining life of 22 years and earns 10 percent on his savings.
A spherical balloon was losing air at rate of 5 in^3/sec. At what rate is the radius of the balloon decreasing when the radius equals 5 inches?
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Susie Homaker desires to open delivery service called Cookies on Wheels. Baking skills and creativity are her strengths, but she lacks knowledge on how to keep records on money transactions for a business.
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Employ the Frobenius method to solve: 2xy'' - 2y' + y = 0. Find index r amd recurrence relation. Compute the first 5 terms (a0-a4) using the recurrence relation for each solution and index r.
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