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.
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