Consider the differential equation (x²-1) y"- 6x y¹+12y=0 (where prime denotes the derivative with respect to x), whose general solution can be expressed as y= A (y₁)+ B (y₂), where A and B are constants and y₁ = (x4+ 6 x² +1), and y₂ = (x³ + x). are two solutions of the given differential equations. Suppose you are given the following initial conditions y(1) = 2, and y(2) = 1. Choose All Correct Answers Below A None of the given answers. B D E A = 0 and B = 1 A=-9 and B=37 A = 4 and B=7 A=-4 and B=14 F) A=6 and B = -3 Questions Filt Continue
Consider the differential equation (x²-1) y"- 6x y¹+12y=0 (where prime denotes the derivative with respect to x), whose general solution can be expressed as y= A (y₁)+ B (y₂), where A and B are constants and y₁ = (x4+ 6 x² +1), and y₂ = (x³ + x). are two solutions of the given differential equations. Suppose you are given the following initial conditions y(1) = 2, and y(2) = 1. Choose All Correct Answers Below A None of the given answers. B D E A = 0 and B = 1 A=-9 and B=37 A = 4 and B=7 A=-4 and B=14 F) A=6 and B = -3 Questions Filt Continue
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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Transcribed Image Text:Consider the differential equation
(x²-1) y"-6x y¹+12y=0
(where prime denotes the derivative with respect to x), whose general solution can be expressed as
y= A (y₁)+ B (y₂). where A and B are constants and y₁ = (x²+ 6 x² +1), and y₂ = (x³ + x). are two solutions of the given
differential equations.
Suppose you are given the following initial conditions y(1) = 2, and y(2) = 1. Choose All Correct Answers Below
B
D
None of the given answers.
A = 0 and B = 1
A=-9 and B = 37
A = 4 and B=7
A=-4 and B=14
A = 6 and B =-3
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