Following a change of variable, the quadratic \( Q = 5x_1^2 - 12x_1x_2 + 0x_2^2 \) can be expressed with no cross-product terms as \( Q = c_1 y_1^2 + c_2 y_2^2 \). If we set \( c_1 > c_2 \), then \( c_1 = \, \) [text box] \(, \, c_2 = \) [text box].

Answered: Image /qna-images/answer/de498924-9de5-432e-a958-7bfc51b952ac.jpgHence the final answers are c1=9, c2=−4 .

Answered: Following a change of variable, the…

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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Following a change of variable, the quadratic Q = 5x² − 12x₁x2 + 0x² can be expressed with no cross-product terms as Q = c₁y₁ + c2y²2. If we set c₁ > c2. then C₁ = C2 =