Pawel ]]>

First of all it is clear that my answer must be wrong.

Let me explain why.

Euler’s Method approximates solutions of the ODE

, .

Note that is the slope. In this question we have

.

Now we also have : that is at the ‘start’ we have when so at the slope is

,

that is positive: the function is increasing so, from anyway, the function gets bigger than 1. Suppose at a short distance later, , we have

for some . Then the slope, at is given by

and the function increases again and we have in fact that for all .

So my answer is wrong.

Is your answer correct?

Yes it is; however the graph that you sent me has vs rather than vs if you know what I mean.

Regards,

J.P.

My answer is always 1.761639264, at the beginning I calculated manually, then I created a spreadsheet to test my answer – the same answer.

At this moment I don’t know what I’m doing wrong.

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