Write a maple procedure

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Question-Write a Maple procedure that solves for y(1) in the initial value problem

y' = f(y); y(0) = 1;

using a numerical stencil based on the nth order Taylor series expansion of y. The procedure's arguments should include an arbitrary function f, an integer n representing the accuracy of the Taylor series expansion, another integer N representing the number of steps between x = 0 and x = 1.

Select a test problem and compare your results with the output of numeric/dsolve.

Reply must be in maple code

 

Reference no: EM13713058

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