Note: you will need to find both the gener e homogeneous problem, and a particular so mogeneous problem.) Here K is an arbitrary co: = 4K. - hy = 6Kr.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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10.(Straightforward) Find the general solution of these constant coeffi-
cient linear inhomogeneous ODES, using the method of undetermined
coefficients. (Note: you will need to find both the general so-
lution to the homogeneous problem, and a particular solution
to the inhomogeneous problem.) Here K is an arbitrary constant.
(a) y" + 4y = 4K.
(b) у" + — 6у — 6Кх.
(c) y" = 12Kx².
(а) " — у — у еxp(Кa).
Transcribed Image Text:10.(Straightforward) Find the general solution of these constant coeffi- cient linear inhomogeneous ODES, using the method of undetermined coefficients. (Note: you will need to find both the general so- lution to the homogeneous problem, and a particular solution to the inhomogeneous problem.) Here K is an arbitrary constant. (a) y" + 4y = 4K. (b) у" + — 6у — 6Кх. (c) y" = 12Kx². (а) " — у — у еxp(Кa).
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