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A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation. y" + 14y' +48y = 144x² +84x+6+63ex, y(x) = ex + 3x²

A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation. y" + 14y' +48y = 144x² +84x+6+63ex, y(x) = ex + 3x²

Advanced Engineering Mathematics
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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A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation. y" + 14y' +48y = 144x² +84x + 6+63ex, y(x) = ex + 3x² The general solution is y(x) = (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)
Transcribed Image Text:A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation. y" + 14y' +48y = 144x² +84x + 6+63ex, y(x) = ex + 3x² The general solution is y(x) = (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)
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