Solve the Linear Higher Order of differential equation using the formulas below. (Dª – 3D³ + 5D²)e2*

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 28RE
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Solve the Linear Higher Order of differential
equation using the formulas below.
(D* — 3D3 + 5D?)e 2х
Formulas:
01. D"eаx — anеаx
02. Đ(D)eax = Þ(a)eax
%3D
03. Dª(eax)n
%
— еах (D + a)"и
04. Ф(D)(eаxи) %3 еахф(D + а)u
05. (D — а)"(еах и) %3 еах D"и
Transcribed Image Text:Solve the Linear Higher Order of differential equation using the formulas below. (D* — 3D3 + 5D?)e 2х Formulas: 01. D"eаx — anеаx 02. Đ(D)eax = Þ(a)eax %3D 03. Dª(eax)n % — еах (D + a)"и 04. Ф(D)(eаxи) %3 еахф(D + а)u 05. (D — а)"(еах и) %3 еах D"и
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