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Let y be continuously differentiable function which satisfies the differential equation
y" + y' - y = 0,
where a is a positive real number, if y(0) = y(a) - 0, then on [0, a].
  • a)
    y is strictly increasing
  • b)
    y is strictly decreasing
  • c)
    y is monotonic
  • d)
    y has finite countably infinite number is zero
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Let y be continuously differentiable function which satisfies the diff...
Y=0   we will get ie  monotone but not strictly
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Let y be continuously differentiable function which satisfies the differential equationy" + y - y = 0, where a is a positive real number, if y(0) = y(a) - 0, then on [0, a].a)y is strictly increasingb)y is strictly decreasingc)y is monotonicd)y has finitecountably infinite number is zeroCorrect answer is option 'C'. Can you explain this answer?
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Let y be continuously differentiable function which satisfies the differential equationy" + y - y = 0, where a is a positive real number, if y(0) = y(a) - 0, then on [0, a].a)y is strictly increasingb)y is strictly decreasingc)y is monotonicd)y has finitecountably infinite number is zeroCorrect answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let y be continuously differentiable function which satisfies the differential equationy" + y - y = 0, where a is a positive real number, if y(0) = y(a) - 0, then on [0, a].a)y is strictly increasingb)y is strictly decreasingc)y is monotonicd)y has finitecountably infinite number is zeroCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let y be continuously differentiable function which satisfies the differential equationy" + y - y = 0, where a is a positive real number, if y(0) = y(a) - 0, then on [0, a].a)y is strictly increasingb)y is strictly decreasingc)y is monotonicd)y has finitecountably infinite number is zeroCorrect answer is option 'C'. Can you explain this answer?.
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