Numerically approximate the solution to the differential equation dB dt with initial value B 900 when t 0 Compute each value

Question

Numerically approximate the solution to the differential equation dB dt with initial value B 900 when t 0 Compute each value using linear approximation this method is also called Euler s method A At 1 and 1 step B 1 B At 0 5 and 2 steps B 1 0 08B c At 0 25 and 4 steps B 1 Remark on an exam you may be asked to do a few simple iterations of Euler s method by hand and you may also be asked about using a spreadsheet so make sure you know how to do it both ways For this question Euler s Method leads to a nice pattern If you simplify every step you may find an easy way to do it by hand

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