Identify whether the system is linear homogeneous, linear inhomogeneous, or nonlinear 5x' + y' = 4z 3xz' + 5y' + t²y = 0 x' + y² + z' = 0 x' - 3y = 3z y' - z" = = COS X 3x' - 2y" = z' {2+x x' - 3x + y = 0 (2tx' - 3t+ 4y' = 0 (2x1, (2x' + 3y' = 5z x" - 2y = z' x-z=y"

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Identify whether the system is linear homogeneous, linear inhomogeneous, or nonlinear
5x' + y' = 4z
3xz' + 5y' + t²y = 0
x' + y² + z' = 0
x' - 3y = 3z
y' - z" = = COS X
3x' - 2y" = z'
{2+x
x' - 3x + y = 0
(2tx' - 3t+ 4y' = 0
(2x1,
(2x' + 3y' = 5z
x" - 2y = z'
x-z=y"
Transcribed Image Text:Identify whether the system is linear homogeneous, linear inhomogeneous, or nonlinear 5x' + y' = 4z 3xz' + 5y' + t²y = 0 x' + y² + z' = 0 x' - 3y = 3z y' - z" = = COS X 3x' - 2y" = z' {2+x x' - 3x + y = 0 (2tx' - 3t+ 4y' = 0 (2x1, (2x' + 3y' = 5z x" - 2y = z' x-z=y"
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