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Consider the following higher-order differential equation. d³u d²u + - 2u = 0 dt³ dt² Find all the roots of the auxiliary equation. (Enter your answers as a comma-separated list.) 1,-1-i,-1+i Find the general solution of the given equation. u(t) = Ce +e c₂cost + +C,sin t X M

Consider the following higher-order differential equation. d³u d²u + - 2u = 0 dt³ dt² Find all the roots of the auxiliary equation. (Enter your answers as a comma-separated list.) 1,-1-i,-1+i Find the general solution of the given equation. u(t) = Ce +e c₂cost + +C,sin t X M

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following higher-order differential equation. d³u d²u + - 2u = 0 dt³ dt² Find all the roots of the auxiliary equation. (Enter your answers as a comma-separated list.) 1, 1-i,-1+i Find the general solution of the given equation. u(t) = Ce +e cocos t + casin t X 4
Transcribed Image Text:Consider the following higher-order differential equation. d³u d²u + - 2u = 0 dt³ dt² Find all the roots of the auxiliary equation. (Enter your answers as a comma-separated list.) 1, 1-i,-1+i Find the general solution of the given equation. u(t) = Ce +e cocos t + casin t X 4
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