ind the general solution for the following ODE. State which rule you are e initial condition is given find the particular solution.
ind the general solution for the following ODE. State which rule you are e initial condition is given find the particular solution.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 28RE
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Transcribed Image Text:Find the general solution for the following ODE. State which rule you are using. If
the initial condition is given find the particular solution.
1) (D² - 4D+41)y=-
6e²x
x4
2) (D² +6D+91)y=
16e-3x
x² +1
3) (x²D² - 2xD +21) y = x³ sin x
=
4) (x²D² + xD-I)y=16x³
5) (x³D³ + xD-1)y=x² ;
6) (4x³D³ +3xD-31)y=10
;
y(1)=-1
y(1) = 1
;
;
y'(1) = 1
y'(1) = 3
;
y"(1)=14
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