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Cosider the initial value problem y" +2y' +6y = 0, y(0) =2; y' (0) = α ≥ 0. Let x(��) be the smallest possible value of x, for which y= 0. Then  is
  • a)
    π/√3
  • b)
    π/√4
  • c)
    π/√5
  • d)
    2π/√5
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Cosider the initial value problem y" +2y +6y = 0, y(0) =2; y (0) ...
The characteristic equation is given by r+ 2r + 6 = 0
using y(0) = 2, we have c1 = 2
Now y'(0) = α, we have  
Therefore
Smallest positive value of x for which y= 0 is x(α) = 
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Cosider the initial value problem y" +2y +6y = 0, y(0) =2; y (0) =α ≥ 0. Let x(��) be the smallest possible value of x, for which y= 0. Then isa)π/√3b)π/√4c)π/√5d)2π/√5Correct answer is option 'C'. Can you explain this answer?
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