Differential Equations: Find the result of the operations indicated in each of the following problems using formulas (F-01) to (F-05). (xD – 1)(D +x) а. xD? + ((х2 — 1)D b. D2 – xD + 2D – 2x c. xD2 + (4 – 2x)D – 6 d. попe of these -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 43RE
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Differential Equations:
Find the result of the operations indicated in each of the following problems using
formulas (F-01) to (F-05). (xD – 1)(D + x)
а. xD? + ((х2 - 1)D
b. D2
— хD + 2D — 2х
с. XD2 + (4 — 2х)D — 6
d. попе of these
F-01. D"eax — а"еах
F-02. Ф(D)eax %3D Ф(а)еах
F-03. D" (eax)n %3D еах (D + a)"и
F-04. Ф(D)(еаxи) %3D еахф(D + а)и
F-05. (D — а)n(eахи) — еах рnu
Transcribed Image Text:Differential Equations: Find the result of the operations indicated in each of the following problems using formulas (F-01) to (F-05). (xD – 1)(D + x) а. xD? + ((х2 - 1)D b. D2 — хD + 2D — 2х с. XD2 + (4 — 2х)D — 6 d. попе of these F-01. D"eax — а"еах F-02. Ф(D)eax %3D Ф(а)еах F-03. D" (eax)n %3D еах (D + a)"и F-04. Ф(D)(еаxи) %3D еахф(D + а)и F-05. (D — а)n(eахи) — еах рnu
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