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QUESTION 10 Consider the following differential equation (ODE #3) y"-8y'+16y=0. Which of the formulas below describes the general solution of (ODE #3)? ○ y(x) = c₁e'¹² + c₂e' 72x O y(n)=ce” +c,ten 71x O x(t)=c xe t x 2 O y(x)=c sin(bx)+c,cos(bx) 1 O y(x) = c,eaxsin(bx)+c,ex cos(bx)

QUESTION 10 Consider the following differential equation (ODE #3) y"-8y'+16y=0. Which of the formulas below describes the general solution of (ODE #3)? ○ y(x) = c₁e'¹² + c₂e' 72x O y(n)=ce” +c,ten 71x O x(t)=c xe t x 2 O y(x)=c sin(bx)+c,cos(bx) 1 O y(x) = c,eaxsin(bx)+c,ex cos(bx)

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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QUESTION 10 Consider the following differential equation (ODE #3) y"-8y'+16y=0. Which of the formulas below describes the general solution of (ODE #3)? ○ y(x) = c₁e'¹² + c₂e' 72x O y(n)=ce” +c,ten 71x O x(t)=c xe t x 2 O y(x)=c sin(bx)+c,cos(bx) 1 O y(x) = c,eaxsin(bx)+c,ex cos(bx)
Transcribed Image Text:QUESTION 10 Consider the following differential equation (ODE #3) y"-8y'+16y=0. Which of the formulas below describes the general solution of (ODE #3)? ○ y(x) = c₁e'¹² + c₂e' 72x O y(n)=ce” +c,ten 71x O x(t)=c xe t x 2 O y(x)=c sin(bx)+c,cos(bx) 1 O y(x) = c,eaxsin(bx)+c,ex cos(bx)
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