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The function y = a ex + b e – 2x is a two-parameter family + be-* of the second-order DE y" – 2y-3y = 6x + 4. Find a %3D solution of the second-order IVP consisting of this differential equation and the given initial conditions y (1) = 4 & y' (1) = -2. Upload Choose a File

The function y = a ex + b e – 2x is a two-parameter family + be-* of the second-order DE y" – 2y-3y = 6x + 4. Find a %3D solution of the second-order IVP consisting of this differential equation and the given initial conditions y (1) = 4 & y' (1) = -2. Upload Choose a File

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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The function y = a e³x + b e¯ – 2x is a two-parameter family of the second-order DE y" – 2y' - 3y = 6x + 4. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions y (1) = 4 & y' (1) = -2. %3D %3D Upload Choose a File
Transcribed Image Text:The function y = a e³x + b e¯ – 2x is a two-parameter family of the second-order DE y" – 2y' - 3y = 6x + 4. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions y (1) = 4 & y' (1) = -2. %3D %3D Upload Choose a File
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