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FP2.6.4 - Taylor series method for differential equations

Syllabus
2019
Objective
Level
A2

FP2.6.4 - Taylor series method for differential equations

Use of Taylor series method for Students may, for example, be required to find the solution series solutions of differential in powers of x as far as the term in x4,of the differential equations. equation d2y dy dy + x + y = 0, such that y = 1, = 0 at x = 0. dx2 dx dx.

Use fp2.6.4 - taylor series method for differential equations to connect the rule to the data and decision in the question.

This matters because fp2.6.4 - taylor series method for differential equations determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply fp2.6.4 - taylor series method for differential equations to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: use the formula and units given in the question, show the substitution and interpret the result; the calculation alone is not the conclusion.

ConceptA-Level Edexcel Mathematics A2