Question

In: Math

(1 point) Use Euler's method to solve dBdt=0.04B with initial value B=1000 when t=0 . A.Δt=1...

(1 point) Use Euler's method to solve

dBdt=0.04B

with initial value B=1000 when t=0 .

A.Δt=1 and 1 step: B(1)≈

B. Δt=0.5 and 2 steps: B(1)≈

C. Δt=0.25 and 4 steps: B(1)≈

D. Suppose B is the balance in a bank account earning interest. Be sure that you can explain why the result of your calculation in part (a) is equivalent to compounding the interest once a year instead of continuously. Then interpret the result of your calculations in parts (b) and (c) in terms of compound interest.

Solutions

Expert Solution

Finding solution of a given differential equation in Euler's method and relating the solution to the amount of a copound interest.


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