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1. y=x²e + 4e* 2. y e-3x cos3x

1. y=x²e + 4e* 2. y e-3x cos3x

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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FIND THE D.E. OF THESE SOLUTIONS THROUGH THE METHOD SHOWN.

1. y=x²e + 4e* 2. y = e-³x cos3x
Transcribed Image Text:1. y=x²e + 4e* 2. y = e-³x cos3x
6.) Find the D.E. Whose solution is : 2 -X a.) = 5x + x²³e² roots: M=0 m=0 m:-1 M = -1 m=-1 y = y = Q₁ ² + ₂x²² + ₂² ² + ₁₂x²² + x² * e xe factors M M Mt1 mt. mti aux.eo. : m² (m+ ₁)² = 0 2 [D² (0+1)³]y=0 D.E. Joder 5th
Transcribed Image Text:6.) Find the D.E. Whose solution is : 2 -X a.) = 5x + x²³e² roots: M=0 m=0 m:-1 M = -1 m=-1 y = y = Q₁ ² + ₂x²² + ₂² ² + ₁₂x²² + x² * e xe factors M M Mt1 mt. mti aux.eo. : m² (m+ ₁)² = 0 2 [D² (0+1)³]y=0 D.E. Joder 5th
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