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Use Euler's method to solve
with initial value when .

A.
and 1 step:

B.
and 2 steps:

C.
and 4 steps:

D.
Suppose 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.