(t) = (t) = = Y Put the differential equation 5ty + e¹y' : = t² + 25 the differential equation 5ty + ety' = help (formulas) help (formulas) Y t² + 25 into the form y' + p(t)y = g(t) and find p(t) linear and homogeneous, linear and nonhomogeneous, or

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 22E
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linear and homogeneous
linear and nonhomogeneous
nonlinear
Transcribed Image Text:Choose Choose linear and homogeneous linear and nonhomogeneous nonlinear
p(t)
g(t)
=
=
Put the differential equation 5ty + ety'
Is the differential equation 5ty + e¹y'
=
Y
t² + 25
help (formulas)
help (formulas)
Y
t² + 25
into the form y' + p(t)y = g(t) and find p(t) and g(t).
linear and homogeneous, linear and nonhomogeneous, or nonlinear?
Transcribed Image Text:p(t) g(t) = = Put the differential equation 5ty + ety' Is the differential equation 5ty + e¹y' = Y t² + 25 help (formulas) help (formulas) Y t² + 25 into the form y' + p(t)y = g(t) and find p(t) and g(t). linear and homogeneous, linear and nonhomogeneous, or nonlinear?
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