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