Put the differential equation xy (x5 + 3)y g(x) = cos(x) + into the form y' + p(x)y = g(x) and find p(x) and g(x). p(x) = help (formulas) help (formulas) xy' Is the differential equation (x5 + 3)y linear and nonhomogeneous, or nonlinear? Answer: Choose = e²x cos(x) + Y e2x Y linear and homogeneous,
Put the differential equation xy (x5 + 3)y g(x) = cos(x) + into the form y' + p(x)y = g(x) and find p(x) and g(x). p(x) = help (formulas) help (formulas) xy' Is the differential equation (x5 + 3)y linear and nonhomogeneous, or nonlinear? Answer: Choose = e²x cos(x) + Y e2x Y linear and homogeneous,
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
0.3.5

Transcribed Image Text:Put the differential equation
g(x) =
xy
(x5 + 3)y
=
=
->
cos(x) +
into the form y' + p(x)y = g(x) and find p(x) and g(x).
p(x) =
help (formulas)
help (formulas)
xy'
Is the differential equation
(x5 + 3)y
linear and nonhomogeneous, or nonlinear?
Answer: Choose
e²x
cos(x) +
Y
e²x
Y
linear and homogeneous,
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