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Which of the following differential equations is not homogeneous one?
  • a)
    (x2 - y2)dx + 2xydy = 0
  • b)

  • c)
    (1 + ex/y)dx + ex/y(1 - x/y)dy = 0
  • d)
    (2x - 3y - 5)dy + (3x + 2y - 5) dx = 0
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following differential equations is not homogeneous one?a...
Definition : Homogeneous Differential Equation.
The differential equations which can be expressed as

are called homogeneous differential equations. Thus differential equation (a) is homogeneous because this can be written as


Differential equation (b) is homogeneous because this can be written as





which is of the type
P(u) dv - Q(x) dx = 0    ...(ii)
(i.e.seperated variables)
Hence it is exact.
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Most Upvoted Answer
Which of the following differential equations is not homogeneous one?a...
Definition : Homogeneous Differential Equation.
The differential equations which can be expressed as

are called homogeneous differential equations. Thus differential equation (a) is homogeneous because this can be written as


Differential equation (b) is homogeneous because this can be written as





which is of the type
P(u) dv - Q(x) dx = 0    ...(ii)
(i.e.seperated variables)
Hence it is exact.
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Which of the following differential equations is not homogeneous one?a)(x2- y2)dx + 2xydy = 0b)c)(1 + ex/y)dx + ex/y(1 - x/y)dy = 0d)(2x - 3y - 5)dy + (3x + 2y - 5) dx = 0Correct answer is option 'D'. Can you explain this answer?
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Which of the following differential equations is not homogeneous one?a)(x2- y2)dx + 2xydy = 0b)c)(1 + ex/y)dx + ex/y(1 - x/y)dy = 0d)(2x - 3y - 5)dy + (3x + 2y - 5) dx = 0Correct 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 differential equations is not homogeneous one?a)(x2- y2)dx + 2xydy = 0b)c)(1 + ex/y)dx + ex/y(1 - x/y)dy = 0d)(2x - 3y - 5)dy + (3x + 2y - 5) dx = 0Correct 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 differential equations is not homogeneous one?a)(x2- y2)dx + 2xydy = 0b)c)(1 + ex/y)dx + ex/y(1 - x/y)dy = 0d)(2x - 3y - 5)dy + (3x + 2y - 5) dx = 0Correct answer is option 'D'. Can you explain this answer?.
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