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Provide a general solution formula for the differential equation y" – 15y" + 70y" – 120y' + 64y = 0, where' means -. Use cl, c2, c3, c4 for the arbitrary constants. dx

Provide a general solution formula for the differential equation y" – 15y" + 70y" – 120y' + 64y = 0, where' means -. Use cl, c2, c3, c4 for the arbitrary constants. dx

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 task is to provide a general solution formula for the differential equation: \[ y^{(4)} - 15y^{(3)} + 70y'' - 120y' + 64y = 0, \] where the prime symbol \(( ' )\) denotes differentiation with respect to \( x \) (\( \frac{d}{dx} \)). Use the constants \( c1, c2, c3, c4 \) to represent arbitrary constants in the solution.
Transcribed Image Text:The task is to provide a general solution formula for the differential equation: \[ y^{(4)} - 15y^{(3)} + 70y'' - 120y' + 64y = 0, \] where the prime symbol \(( ' )\) denotes differentiation with respect to \( x \) (\( \frac{d}{dx} \)). Use the constants \( c1, c2, c3, c4 \) to represent arbitrary constants in the solution.
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