Good day! Please help with the answer to one question. I am sure there are people who know ... I hope that the question will not be deleted, since it is not about programming.

In general, the essence of the question: we all know that modifications of the Euler method, namely the Euler broken method and the Euler – Cauchy method for a differential equation, find the desired function only approximately. The question is: is it possible to find the exact solution for any function using both of these methods? If so, for which function can this be done? Thanks in advance for the answer!

  • For example, for a linear function, the Euler method will give the exact solution. - andy.37
  • Yes, I figured out the Euler method, it gives the exact solution. My teacher asks for an answer specifically for these two modifications. - MayTFBWY
  • And what is a differential equation? This is an equation with derivatives. The derivative, in turn, is the limit. The limit in general form can be calculated only with a given accuracy. For this differential equations and are intended. What practical sense, for example, to calculate the length of a circle with infinite accuracy? - Vanyamba Electronics

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