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Given ODE as y" - 3y" + 3y' - y = 0 what is the general solution for y? Oy=c₁e*+C₂xe* + C3x² ex Oy=c₁e* Oy=c₁e* + c₂e²x + c3e³x 2x Oy=c₁e* + C₂e* + c3e* -X Oy=c₁e* + c₂e-* + C3xe*

Given ODE as y" - 3y" + 3y' - y = 0 what is the general solution for y? Oy=c₁e*+C₂xe* + C3x² ex Oy=c₁e* Oy=c₁e* + c₂e²x + c3e³x 2x Oy=c₁e* + C₂e* + c3e* -X Oy=c₁e* + c₂e-* + C3xe*

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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Given ODE as y" - 3y" + 3y - y = 0 what is the general solution for y? Oy=c₁e* + C₂xe* + C₂x²ex Oy=c₁e* 2x 3x y=c₁e*+c₂e²x + c₂e³x Oy=c₁e* + c₂e* + c3e* y=c₁e* + C₂e + C3xe*
Transcribed Image Text:Given ODE as y" - 3y" + 3y - y = 0 what is the general solution for y? Oy=c₁e* + C₂xe* + C₂x²ex Oy=c₁e* 2x 3x y=c₁e*+c₂e²x + c₂e³x Oy=c₁e* + c₂e* + c3e* y=c₁e* + C₂e + C3xe*
Given a mass, m-5 kg, attached to a spring with spring constant, k-20 N/m: Assuming undamped system, setup the model and solve for the particular solution given initial conditions, y(0) - 15 y(π/4)= 10 y(t) = 10cos (t) +15sin(t) Oy(t)=15cos(2t) + 10sin(2t) y(t) = 15e (2) +10e(-2) y(t) = 10e (2) + 15e(-2) None
Transcribed Image Text:Given a mass, m-5 kg, attached to a spring with spring constant, k-20 N/m: Assuming undamped system, setup the model and solve for the particular solution given initial conditions, y(0) - 15 y(π/4)= 10 y(t) = 10cos (t) +15sin(t) Oy(t)=15cos(2t) + 10sin(2t) y(t) = 15e (2) +10e(-2) y(t) = 10e (2) + 15e(-2) None
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