Question

What is the difference between differential equation and difference
equation?​

Answer 1

Answer:

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Morally, a difference equation is a discrete version of a differential equation and a differential equation is a continuous version of a difference equation. ... The method can also be applied to nonlinear and partial differential equations.

Hope it'll help uh!

Answer 2

Answer:

One talks about differences between quantities, of the form xn+1−xn , and relationships with this quantity. The other talks about differentials of quantities, which take the form dx , and the relationships between such quantities.

The main difference between them, as others have pointed out, is that difference equations take discrete steps of finite size, whereas differential equations are about continuous flows, where the individual steps are so small that they cannot be distinguished, because the differentials are so small that dx2≈0 , whereas (xn+1−xn)2 is typically non-negligible.