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Find the general solution of the following equation: y" – 6y + 9y = 0 O yG (x) = c1e-3x + c2e¬3x YG (x) = c1e³x + c2xe³x O yG (x) = c1e* + c2e³x O yG (x) = c1e-3* + c2xe-3x = cje O yG (x) = e³x + c2xe³x

Find the general solution of the following equation: y" – 6y + 9y = 0 O yG (x) = c1e-3x + c2e¬3x YG (x) = c1e³x + c2xe³x O yG (x) = c1e* + c2e³x O yG (x) = c1e-3* + c2xe-3x = cje O yG (x) = e³x + c2xe³x

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 general solution of the following equation: y" – 6y + 9y = 0 O yG (x) = c1e-3x + c2e¬3x YG (x) = c1e³x + c2xe³x O yG (x) = c1e³x + c2e³x O yG (x) = O = cje-3x + c2xe-3* O YG (x) = e³x + c2xe³x
Transcribed Image Text:Find the general solution of the following equation: y" – 6y + 9y = 0 O yG (x) = c1e-3x + c2e¬3x YG (x) = c1e³x + c2xe³x O yG (x) = c1e³x + c2e³x O yG (x) = O = cje-3x + c2xe-3* O YG (x) = e³x + c2xe³x
Determine the largest interval on which the differential equation (1 – 1) y" + sin t y' + cos t y = 0, y(5) = 0, y' (5) = 1 is certain to have a unique twice differentiable solution. O [-1, ∞) O [1, ∞) O (1, ∞) O (-1, ∞) O (-∞, 0)
Transcribed Image Text:Determine the largest interval on which the differential equation (1 – 1) y" + sin t y' + cos t y = 0, y(5) = 0, y' (5) = 1 is certain to have a unique twice differentiable solution. O [-1, ∞) O [1, ∞) O (1, ∞) O (-1, ∞) O (-∞, 0)
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