Hello. I'm having problems with solving a pretty straight forward differential equation by using Euler's method.
Exercise 1: Solve where .
Answer 1: This exercise is not the problem (I think). Anyway, the answer is:
Exercise 2: Solve the differential equation numerically on the interval [0,0.6] with Euler's method using 6 steps.
Answer 2: I have tried to use where , but it doesn't make any sense. The "exact" values for x'(t) are
When I use "my method" the numbers are totally different from them above. Can anyone explain what I do wrong? I must have misunderstand something...
Hehe, good point. Sorry about that. Ok, I use the formula
and so on.
My point is that I have never solved an exercise with Euler's method before, so I'm wondering if anyone could explain how I can use Euler's method in this one case - maby I will understand much more then.