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The differential equation +5d - 24y = 0 has auxiliary equation 2 m² +5m - 24 = with roots -8,3 Therefore there are two fundamental solutions Use these to solve the IVP e -8x 3x d²y dx² dy dx y(0) = 6 y' (0) = 1 +5. = 0 1 - 24y = 0 y(x) = || A

The differential equation +5d - 24y = 0 has auxiliary equation 2 m² +5m - 24 = with roots -8,3 Therefore there are two fundamental solutions Use these to solve the IVP e -8x 3x d²y dx² dy dx y(0) = 6 y' (0) = 1 +5. = 0 1 - 24y = 0 y(x) = || A

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 differential equation +5-24y = 0 has auxiliary equation with roots -8,3 Therefore there are two fundamental solutions Use these to solve the IVP 2 m² +5m-24 = 0 -8x 3x e d²y dx² dy +5- - 24y = 0 dx y(0) = 6 y'(0) = 1 y(x) = 4
Transcribed Image Text:The differential equation +5-24y = 0 has auxiliary equation with roots -8,3 Therefore there are two fundamental solutions Use these to solve the IVP 2 m² +5m-24 = 0 -8x 3x e d²y dx² dy +5- - 24y = 0 dx y(0) = 6 y'(0) = 1 y(x) = 4
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