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10 Transform the system of ODE into AN equivalent system of 1st a) Ⓒ x² = 5x + 4y = 0 Ⓡy² + 4x - sy=0 2 3X" = 24" ® 3y² = -2x² b) O c) x² = - 75 x + 25 y @ of 1st order d) © y² = " equations. едины 50x-50y + 50 cos (54) x² + 3x² + 4x-2y=0

10 Transform the system of ODE into AN equivalent system of 1st a) Ⓒ x² = 5x + 4y = 0 Ⓡy² + 4x - sy=0 2 3X" = 24" ® 3y² = -2x² b) O c) x² = - 75 x + 25 y @ of 1st order d) © y² = " equations. едины 50x-50y + 50 cos (54) x² + 3x² + 4x-2y=0

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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10 Transform the system of ODE into AN equivalent system of 1st of 1st order equations. a) Ⓒ x² = 5x + 4y = 0 @ y² +4x - sy=0 2 b) o 3x's zy 2y" ® 3y² = -2x² c) © x² = -75x+ 25 y x' ® y " = d) ℗ x² + 50x-50y + 50 cos (5t) 3x² + 3x² + 4x-2y=0 ® y² + 2y² - 3x +y = cos(t)
Transcribed Image Text:10 Transform the system of ODE into AN equivalent system of 1st of 1st order equations. a) Ⓒ x² = 5x + 4y = 0 @ y² +4x - sy=0 2 b) o 3x's zy 2y" ® 3y² = -2x² c) © x² = -75x+ 25 y x' ® y " = d) ℗ x² + 50x-50y + 50 cos (5t) 3x² + 3x² + 4x-2y=0 ® y² + 2y² - 3x +y = cos(t)
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