Prove that for integers y=1 the equation 3h-n (2x₁ + x₂ + 4x₂) +3² (~1(2x₁+x₂+.+xn-1)+...+3^-1 (2²₁) 2x₁+x₂+...+xn -3" Y = cannot be solved with positive integers X₁ X₂ Xn, M.

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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Prove that for integers y=1 the equation
3 h-n (2 x ₁ + x₂ + .. + x₂) +3²(1)(2x₁+x₂+.+xn-₁) +...+ 3^-1 (2²₁)
Y =
2x₁+x₂+...+% -3"
cannot be solved with positive integers X₁₁X₂... Xny no
Transcribed Image Text:Prove that for integers y=1 the equation 3 h-n (2 x ₁ + x₂ + .. + x₂) +3²(1)(2x₁+x₂+.+xn-₁) +...+ 3^-1 (2²₁) Y = 2x₁+x₂+...+% -3" cannot be solved with positive integers X₁₁X₂... Xny no
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