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Which of the following statements is incorrect regarding the singular solutions of the differential equations?
  • a)
    The singular solution does not. contain any arbitrary constant
  • b)
    Singular solution is a particular case of the general solution
  • c)
    It is never possible to deduce the singular solution from the general solution by assigning a particular value to the arbitrary constant therein
  • d)
    If fix, y) = 0 is a singular solution of the differential equation f(x, y, p) = 0 whose general solution is φ(x, y, c) = 0, then f(x, y) is a factor of both p as well as c-discriminants and also satisfies the given differential equation
Correct answer is option 'D'. Can you explain this answer?
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Which of the following statements is incorrect regarding the singular ...
D) If f(x, y, p) = 0 is a singular solution of the differential equation, it does not necessarily mean that the general solution is also equal to zero. The general solution can have many different forms and may not necessarily have the same value as the singular solution.
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Which of the following statements is incorrect regarding the singular ...
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Which of the following statements is incorrect regarding the singular solutions of the differential equations?a)The singular solution does not. contain any arbitrary constantb)Singular solution is a particular caseof the general solutionc)It is never possible to deduce the singular solution from the general solution by assigning a particular value to the arbitrary constant thereind)If fix, y) = 0 is a singular solution of the differential equation f(x, y, p) = 0 whose general solution is φ(x, y, c) =0, then f(x, y) is a factor of both p as well as c-discriminants and also satisfies the given differential equationCorrect answer is option 'D'. Can you explain this answer?
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Which of the following statements is incorrect regarding the singular solutions of the differential equations?a)The singular solution does not. contain any arbitrary constantb)Singular solution is a particular caseof the general solutionc)It is never possible to deduce the singular solution from the general solution by assigning a particular value to the arbitrary constant thereind)If fix, y) = 0 is a singular solution of the differential equation f(x, y, p) = 0 whose general solution is φ(x, y, c) =0, then f(x, y) is a factor of both p as well as c-discriminants and also satisfies the given differential equationCorrect answer is option 'D'. 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 Which of the following statements is incorrect regarding the singular solutions of the differential equations?a)The singular solution does not. contain any arbitrary constantb)Singular solution is a particular caseof the general solutionc)It is never possible to deduce the singular solution from the general solution by assigning a particular value to the arbitrary constant thereind)If fix, y) = 0 is a singular solution of the differential equation f(x, y, p) = 0 whose general solution is φ(x, y, c) =0, then f(x, y) is a factor of both p as well as c-discriminants and also satisfies the given differential equationCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is incorrect regarding the singular solutions of the differential equations?a)The singular solution does not. contain any arbitrary constantb)Singular solution is a particular caseof the general solutionc)It is never possible to deduce the singular solution from the general solution by assigning a particular value to the arbitrary constant thereind)If fix, y) = 0 is a singular solution of the differential equation f(x, y, p) = 0 whose general solution is φ(x, y, c) =0, then f(x, y) is a factor of both p as well as c-discriminants and also satisfies the given differential equationCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Which of the following statements is incorrect regarding the singular solutions of the differential equations?a)The singular solution does not. contain any arbitrary constantb)Singular solution is a particular caseof the general solutionc)It is never possible to deduce the singular solution from the general solution by assigning a particular value to the arbitrary constant thereind)If fix, y) = 0 is a singular solution of the differential equation f(x, y, p) = 0 whose general solution is φ(x, y, c) =0, then f(x, y) is a factor of both p as well as c-discriminants and also satisfies the given differential equationCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
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