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What is the reason behind the non-existence of any real function which satisfies the differential equation, (y’)2 + 1 = 0?
  • a)
    Because for any real function, the left-hand side of the equation will be less than, or equal to one and thus cannot be zero
  • b)
    Because for any real function, the left-hand side of the equation becomes zero
  • c)
    Because for any real function, the left-hand side of the equation will be greater than, or equal to one and thus cannot be zero
  • d)
    Because for any real function, the left-hand side of the equation becomes infinity
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
What is the reason behind the non-existence of any real function which...
Given: (y’)2 + 1 = 0
Consider if y = 2x, then y’ = 2 and hence the left-hand side of the equation becomes 3 which is greater than 1. Therefore, the left-hand side of the equation will always be greater than, or equal to one and thus cannot be zero and hence the differential equation is not satisfied.
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What is the reason behind the non-existence of any real function which...
Given: (y’)2 + 1 = 0
Consider if y = 2x, then y’ = 2 and hence the left-hand side of the equation becomes 3 which is greater than 1. Therefore, the left-hand side of the equation will always be greater than, or equal to one and thus cannot be zero and hence the differential equation is not satisfied.
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What is the reason behind the non-existence of any real function which satisfies the differential equation, (y’)2 + 1 = 0?a)Because for any real function, the left-hand side of the equation will be less than, or equal to one and thus cannot be zerob)Because for any real function, the left-hand side of the equation becomes zeroc)Because for any real function, the left-hand side of the equation will be greater than, or equal to one and thus cannot be zerod)Because for any real function, the left-hand side of the equation becomes infinityCorrect answer is option 'C'. Can you explain this answer?
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What is the reason behind the non-existence of any real function which satisfies the differential equation, (y’)2 + 1 = 0?a)Because for any real function, the left-hand side of the equation will be less than, or equal to one and thus cannot be zerob)Because for any real function, the left-hand side of the equation becomes zeroc)Because for any real function, the left-hand side of the equation will be greater than, or equal to one and thus cannot be zerod)Because for any real function, the left-hand side of the equation becomes infinityCorrect 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 What is the reason behind the non-existence of any real function which satisfies the differential equation, (y’)2 + 1 = 0?a)Because for any real function, the left-hand side of the equation will be less than, or equal to one and thus cannot be zerob)Because for any real function, the left-hand side of the equation becomes zeroc)Because for any real function, the left-hand side of the equation will be greater than, or equal to one and thus cannot be zerod)Because for any real function, the left-hand side of the equation becomes infinityCorrect 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 What is the reason behind the non-existence of any real function which satisfies the differential equation, (y’)2 + 1 = 0?a)Because for any real function, the left-hand side of the equation will be less than, or equal to one and thus cannot be zerob)Because for any real function, the left-hand side of the equation becomes zeroc)Because for any real function, the left-hand side of the equation will be greater than, or equal to one and thus cannot be zerod)Because for any real function, the left-hand side of the equation becomes infinityCorrect answer is option 'C'. Can you explain this answer?.
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