QUESTION 2 Consider the following differential equation (ODE #1) 4y"-12y'+5y=0. Which of the formulas below describes the general solution of (ODE #1)? 0 ○ y(x) = c₁e1* +c2e2 2x ○ y(x) = c₁e³x + c₂xex ○ y(x)=c₁xe"¹* +c₂xe2* O y(x)=c,sin(bx)+c₂cos(bx) ○ y(x) = c₁eax sin(bx)+c₁ex cos(bx)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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QUESTION 2
Consider the following differential equation
(ODE #1) 4y"-12y'+5y=0.
Which of the formulas below describes the general solution of (ODE #1)?
0
○ y(x) = c₁e1* +c2e2
2x
○ y(x) = c₁e³x + c₂xex
○ y(x)=c₁xe"¹* +c₂xe2*
O y(x)=c,sin(bx)+c₂cos(bx)
○ y(x) = c₁eax sin(bx)+c₁ex cos(bx)
Transcribed Image Text:QUESTION 2 Consider the following differential equation (ODE #1) 4y"-12y'+5y=0. Which of the formulas below describes the general solution of (ODE #1)? 0 ○ y(x) = c₁e1* +c2e2 2x ○ y(x) = c₁e³x + c₂xex ○ y(x)=c₁xe"¹* +c₂xe2* O y(x)=c,sin(bx)+c₂cos(bx) ○ y(x) = c₁eax sin(bx)+c₁ex cos(bx)
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