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If, A and B are arbitrary constants then what will be the differential equation of y = Ax + B/x?
- a)x2 d2 y/dx2 – xdy/dx + y = 0
- b)x2 d2 y/dx2 + xdy/dx + y = 0
- c)x2 d2 y/dx2 + xdy/dx – y = 0
- d)x2 d2 y/dx2 – xdy/dx – y = 0
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If, A and B are arbitrary constants then what will be the differential...
Given, y = Ax + B/x
⇒ xy = Ax2 + B ……….(1)
Differentiating (1) with respect to x, we get,
d(xy)/dx = d/dx(Ax2 + B)
or, xdy/dx + y = A * 2x ……….(2)
Differentiating again with respect to x, we get,
x*d2y/dx2 + dy/dx + dy/dx = A*2 ……….(3)
Eliminating A from (2) and (3) we get,
x2 d2 y/dx2 + 2xdy/dx = 2Ax [multiplying (3) by x]
or, x2 d2 y/dx2 + 2xdy/dx = xdy/dx + y [using (2)]
or, x2 d2 y/dx2 + xdy/dx – y = 0
⇒ xy = Ax2 + B ……….(1)
Differentiating (1) with respect to x, we get,
d(xy)/dx = d/dx(Ax2 + B)
or, xdy/dx + y = A * 2x ……….(2)
Differentiating again with respect to x, we get,
x*d2y/dx2 + dy/dx + dy/dx = A*2 ……….(3)
Eliminating A from (2) and (3) we get,
x2 d2 y/dx2 + 2xdy/dx = 2Ax [multiplying (3) by x]
or, x2 d2 y/dx2 + 2xdy/dx = xdy/dx + y [using (2)]
or, x2 d2 y/dx2 + xdy/dx – y = 0
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Community Answer
If, A and B are arbitrary constants then what will be the differential...
The differential equation for y = Ax + B/x is given by:
d^2y/dx^2 = 0
This is because the second derivative of y with respect to x is zero.
d^2y/dx^2 = 0
This is because the second derivative of y with respect to x is zero.
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If, A and B are arbitrary constants then what will be the differential equation of y = Ax + B/x?a)x2d2y/dx2– xdy/dx + y = 0b)x2d2y/dx2+ xdy/dx + y = 0c)x2d2y/dx2+ xdy/dx – y = 0d)x2d2y/dx2– xdy/dx – y = 0Correct answer is option 'C'. Can you explain this answer?
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If, A and B are arbitrary constants then what will be the differential equation of y = Ax + B/x?a)x2d2y/dx2– xdy/dx + y = 0b)x2d2y/dx2+ xdy/dx + y = 0c)x2d2y/dx2+ xdy/dx – y = 0d)x2d2y/dx2– xdy/dx – y = 0Correct answer is option 'C'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about If, A and B are arbitrary constants then what will be the differential equation of y = Ax + B/x?a)x2d2y/dx2– xdy/dx + y = 0b)x2d2y/dx2+ xdy/dx + y = 0c)x2d2y/dx2+ xdy/dx – y = 0d)x2d2y/dx2– xdy/dx – y = 0Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If, A and B are arbitrary constants then what will be the differential equation of y = Ax + B/x?a)x2d2y/dx2– xdy/dx + y = 0b)x2d2y/dx2+ xdy/dx + y = 0c)x2d2y/dx2+ xdy/dx – y = 0d)x2d2y/dx2– xdy/dx – y = 0Correct answer is option 'C'. Can you explain this answer?.
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Solutions for If, A and B are arbitrary constants then what will be the differential equation of y = Ax + B/x?a)x2d2y/dx2– xdy/dx + y = 0b)x2d2y/dx2+ xdy/dx + y = 0c)x2d2y/dx2+ xdy/dx – y = 0d)x2d2y/dx2– xdy/dx – y = 0Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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ample number of questions to practice If, A and B are arbitrary constants then what will be the differential equation of y = Ax + B/x?a)x2d2y/dx2– xdy/dx + y = 0b)x2d2y/dx2+ xdy/dx + y = 0c)x2d2y/dx2+ xdy/dx – y = 0d)x2d2y/dx2– xdy/dx – y = 0Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 12 tests.
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