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
etc.
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...