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Consider the differential equations, satisfying y(0) = 0, where  This initial value problem
  • a)
    has a continuous solution which is not differentiable at x = 0
  • b)
    has a continuous solution which is differentiable at x = 0
  • c)
    has a continuous solution which is differentiable on R
  • d)
    does not have a continuous solution on R.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider the differential equations, satisfying y(0) = 0,whereThis ini...
we have 
or, 
Thus, 
implies y = x2 + c for x ≤ 0,
but y(0) = 0 implies c = 0
So,
 
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Most Upvoted Answer
Consider the differential equations, satisfying y(0) = 0,whereThis ini...
we have 
or, 
Thus, 
implies y = x2 + c for x ≤ 0,
but y(0) = 0 implies c = 0
So,
 
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Consider the differential equations, satisfying y(0) = 0,whereThis initial value problema)has a continuous solution which is not differentiable at x = 0b)has a continuous solution which is differentiable at x = 0c)has a continuous solution which is differentiable on Rd)does not have a continuous solution on R.Correct answer is option 'A'. Can you explain this answer?
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Consider the differential equations, satisfying y(0) = 0,whereThis initial value problema)has a continuous solution which is not differentiable at x = 0b)has a continuous solution which is differentiable at x = 0c)has a continuous solution which is differentiable on Rd)does not have a continuous solution on R.Correct answer is option 'A'. 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 Consider the differential equations, satisfying y(0) = 0,whereThis initial value problema)has a continuous solution which is not differentiable at x = 0b)has a continuous solution which is differentiable at x = 0c)has a continuous solution which is differentiable on Rd)does not have a continuous solution on R.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the differential equations, satisfying y(0) = 0,whereThis initial value problema)has a continuous solution which is not differentiable at x = 0b)has a continuous solution which is differentiable at x = 0c)has a continuous solution which is differentiable on Rd)does not have a continuous solution on R.Correct answer is option 'A'. Can you explain this answer?.
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