Find the particular solution of the separable DE with the given boundary condition.e ; when x-0 andy-1.a 2y' =e" + 2x² + 3b. Zy - e + 2x +3C. 2y -e- 4x +3d. y = e - 2x² + 3

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Answered: Find the particular solution of the…

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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2nd order linear homogenous DE with constant coefficients
It is a standard form and general solution for variable separable type. Standard Form: P (x) dx + Q (y) dy = 0 General solution: S P(x) dx + S Q (y) dy = C Standard Form: М(х, у) dx + N (г, y) dy 3D 0 6. General solution: F (x,y) = C Standard Form: dy dx Q (x) + y P (x) General solution: yt = SQ (x) t dæ + C Standard Form: М(г, у) dx + N (г,y) dy — 0 General solution: S P(x) dx + S Q (y) dy C

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Find the particular solution of the separable DE with the given boundary condition. e ; when x-0 and y-1. a 2y' =e" + 2x² + 3 b. Zy - e + 2x +3 C. 2y -e- 4x +3 d. y = e - 2x² + 3