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A simple differential equation

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HughLee
HughLee 2020-3-16
关闭： MATLAB Answer Bot 2021-8-20
Hello
My homework is to implememnt a simple differential equation in time-step wise, which to be honest I did not understand properly...
where c and k are constants.
Does anyone get ideas and implement this in MATLAB?
He said if it is not suitable, try
Umm.. anyone good at math and MATLAB? Thanks.
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darova
darova 2020-3-16
  • I haven't tried Euler method. Is there any description on the Internet? Thank you
Walter Roberson
Walter Roberson 2020-3-18
x = x + f'(t,x)*timestep where is this from?
Calculus. The integral of f(t,x) over x=a to b is the limit of the sum h*f'(t,X) where X is a to b in steps of h, as h decreases to 0.
The Euler Method is more sophisticated than this: it takes larger steps and makes better approximations (see for example Simpson's Rule, or Trapazoid Method for why a simple sum is not the best for discrete calculations.)

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