Question

· Yn+1 = yn + h f (xn, yn) is the iterative formula for which method​

Answer 1

SOLUTION

TO DETERMINE

The name of the method for which the below iterative formula is used

$\sf{y_{n+1} = y_n + h \: f(x_n, y_n) }$

EVALUATION

Here the given iterative formula is

$\sf{y_{n+1} = y_n + h \: f(x_n, y_n) }$

This above mentioned formula is used for the method Euler's Method

In Euler's Method we approximate the curve of solution by the tangent in each interval i.e by a sequence of short lines . Unless h is small the error is bound to be quite significant . This sequence of lines may also deviate considerably from the curve of solution

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