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Consider the differential equationwith y(1) = 2π. There exists a unique solution for this differential equation when t belongs to the interval
  • a)
    (–2, 2)
  • b)
    (–10, 10)
  • c)
    (–10, 2)
  • d)
    (0, 10)
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Consider the differential equationwith y(1) = 2π. There exists a un...

 
It is in the standard form of first order linear equation.
Integrating factor

Solution of differential equation is:

If t = ±9, solution doesn’t exist.
Hence t ≠ ±9.
From the options, (-2, 2) doesn’t consists of ±9, hence, (-2, 2) is the correct.
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Consider the differential equationwith y(1) = 2π. There exists a unique solution for this differential equation when t belongs to the intervala)(–2, 2)b)(–10, 10)c)(–10, 2)d)(0, 10)Correct answer is option 'A'. Can you explain this answer?
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