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The solution of differential equation dx – (x + y + 1) dy = 0 is
- a)(x + y + 2) ey = C
- b)(x – y - 2) ey = C
- c)(x + y + 2) e-y = C
- d)(x – y + 2) ey = C
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The solution of differential equation dx – (x + y + 1) dy = 0 is...
Given differential equation is,
dx – (x + y + 1) dy = 0
Put (x + y + 1) = t
Now, the differential equation becomes
⇒ t - In (t + 1) = x + C1
⇒ (x + y + 1) – In (x + y + 2) = x + C1
⇒ y + 1 – C1 = In (x + y + 2)
⇒ In (x + y + 2) = y + k
⇒ (x + y + 2) = ey+k
⇒ (x + y + 2) e
= C
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Community Answer
The solution of differential equation dx – (x + y + 1) dy = 0 is...
Given differential equation is,
dx – (x + y + 1) dy = 0
Put (x + y + 1) = t
Now, the differential equation becomes
⇒ t - In (t + 1) = x + C1
⇒ (x + y + 1) – In (x + y + 2) = x + C1
⇒ y + 1 – C1 = In (x + y + 2)
⇒ In (x + y + 2) = y + k
⇒ (x + y + 2) = ey+k
⇒ (x + y + 2) e
= C
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The solution of differential equation dx – (x + y + 1) dy = 0 isa)(x + y + 2) ey= Cb)(x – y - 2) ey= Cc)(x + y + 2) e-y= Cd)(x – y + 2) ey= CCorrect answer is option 'C'. Can you explain this answer?
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The solution of differential equation dx – (x + y + 1) dy = 0 isa)(x + y + 2) ey= Cb)(x – y - 2) ey= Cc)(x + y + 2) e-y= Cd)(x – y + 2) ey= CCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The solution of differential equation dx – (x + y + 1) dy = 0 isa)(x + y + 2) ey= Cb)(x – y - 2) ey= Cc)(x + y + 2) e-y= Cd)(x – y + 2) ey= CCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The solution of differential equation dx – (x + y + 1) dy = 0 isa)(x + y + 2) ey= Cb)(x – y - 2) ey= Cc)(x + y + 2) e-y= Cd)(x – y + 2) ey= CCorrect answer is option 'C'. Can you explain this answer?.
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