Any kind of help would be grateful 6. Consider the differential equation y' = y + 2x with y(0) = 1.(a) Find a closed form of the solution using the method of Taylor series about x = 0.(b) Use Euler's method to estimate y(0.6) with the following step sizes.(i) h = 0.3(ii) h = 0.2

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Answered: 6. Consider the differential equation…

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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6. Consider the differential equation y' = y + 2x with y(0) = 1. (a) Find a closed form of the solution using the method of Taylor series about x = 0. (b) Use Euler's method to estimate y(0.6) with the following step sizes. (i) h = 0.3 (ii) h = 0.2