h.x"+y'-y=0; x(0) = 0, x'(0) = 1, y(0) = 0, z(0) = 0 2x'x+z' -z = 0 x' + 3x + y' - 4y + 3z = 0

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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Solve the following systems of differential equations.

h.x"+y'-y = 0; x(0) = 0, x'(0) = 1, y(0) = 0, z(0) = 0
2x'-x+z' -z = 0
x' + 3x + y' - 4y + 3z = 0
i. w' + y = sin x; w(0) = 0, y(0) = 1, z(0) = 1
y' -z = ex
z'+w+ y = 1
j. x" + y' + 3x = 15 et ; x(0) = 35, x'(0) = -48, y(0) = 27,
y'(0) = -55
y" - 4x + 3y = 15 sin 2t
Transcribed Image Text:h.x"+y'-y = 0; x(0) = 0, x'(0) = 1, y(0) = 0, z(0) = 0 2x'-x+z' -z = 0 x' + 3x + y' - 4y + 3z = 0 i. w' + y = sin x; w(0) = 0, y(0) = 1, z(0) = 1 y' -z = ex z'+w+ y = 1 j. x" + y' + 3x = 15 et ; x(0) = 35, x'(0) = -48, y(0) = 27, y'(0) = -55 y" - 4x + 3y = 15 sin 2t
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