DIFFERENTIAL EQUATION Verify that the function is a solution of a DE. Showyour solution.SolutionDifferential Equation1. y = Ce4xIIy' = 4y2. y = 2x33у— —у 3D 03. y = x?x²y" – 2y = 04. y = ex3y" – 3x²y' – 6xy = 05.y = Ce*-x?у'+ (2х — 1)у %3D0

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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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Verify that the function is a solution of a DE. Show your solution. Solution Differential Equation y = Ce4x y' = 4y 3 y' -y = 0 y = 2x3 y = x2 x?y" – 2y = 0