Please solve the following practice problems in step by step solution dyy+1=dxXwith initial conditions y = 1 at x = 2.0, produce a numerical solution of the differentialequation, correct to 6 decimal places, in the range x = 2.0(0.1)2.5 using:(b) Euler-Cauchy methodCompare the %error of the estimated values of (a), (b) and (c), calculated against the actualvalues of (d). Show complete solutions and express answers in table form.

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Answered: dy +1=_Y --- dx with initial conditions…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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dy +1=_Y --- dx with initial conditions y = 1 at x = 2.0, produce a numerical solution of the differential equation, correct to 6 decimal places, in the range x = 2.0(0.1)2.5 using: (b) Euler-Cauchy method