1. Fill in the following table. Give an integer for the order and YES, NO or N/A for all other answers. if linear, if linear, constant coeff's? homogeneous? ODE order autonomous? linear? y" + xy? = e* xy" + x?y" + 4y = 0 d²x + x dt2 = 1 dt5 d4w d²w 12w = 3 sin(t) dt4 dt2

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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1. Fill in the following table. Give an integer for the order and YES, NO or N/A for all other answers.
if linear,
if linear,
constant coeff's? homogeneous?
ODE
order
autonomous?
linear?
y" + xy? = e*
xy" +x*
x² y" + 4y = 0
d²x
d5x
+ x
= 1
dt2
dt5
d4w
d²w
12w = 3 sin(t)
dt4
dt?
Transcribed Image Text:1. Fill in the following table. Give an integer for the order and YES, NO or N/A for all other answers. if linear, if linear, constant coeff's? homogeneous? ODE order autonomous? linear? y" + xy? = e* xy" +x* x² y" + 4y = 0 d²x d5x + x = 1 dt2 dt5 d4w d²w 12w = 3 sin(t) dt4 dt?
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