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A differential equation is said to be linear if
  • a)
    x, y and the derivatives of y are of first degree and product of these do not occur in it
  • b)
    y and its derivatives are of first degree but products of these do not occur in it
  • c)
    The derivatives of y are all of the first degree
  • d)
    The dependent variable occurs linearly.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A differential equation is said to be linear ifa)x,y and the derivativ...
Definition : A differential equation is said to be linear if.
i. the dependent variable and each of its derivatives occurs to the first degree only and
ii. no products of dependent variable and or its derivatives occur.
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Most Upvoted Answer
A differential equation is said to be linear ifa)x,y and the derivativ...
Definition : A differential equation is said to be linear if.
i. the dependent variable and each of its derivatives occurs to the first degree only and
ii. no products of dependent variable and or its derivatives occur.
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A differential equation is said to be linear ifa)x,y and the derivatives of y are of first degree and product of these do not occur in itb)y and its derivatives are of first degree but products of these do not occur in itc)The derivatives of y are all of the first degreed)The dependent variable occurs linearly.Correct answer is option 'B'. Can you explain this answer?
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A differential equation is said to be linear ifa)x,y and the derivatives of y are of first degree and product of these do not occur in itb)y and its derivatives are of first degree but products of these do not occur in itc)The derivatives of y are all of the first degreed)The dependent variable occurs linearly.Correct answer is option 'B'. 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 A differential equation is said to be linear ifa)x,y and the derivatives of y are of first degree and product of these do not occur in itb)y and its derivatives are of first degree but products of these do not occur in itc)The derivatives of y are all of the first degreed)The dependent variable occurs linearly.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A differential equation is said to be linear ifa)x,y and the derivatives of y are of first degree and product of these do not occur in itb)y and its derivatives are of first degree but products of these do not occur in itc)The derivatives of y are all of the first degreed)The dependent variable occurs linearly.Correct answer is option 'B'. Can you explain this answer?.
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