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Find the particular solution of the differential equation .
  • a)
    (log⁡y)+ (log⁡x)= 0
  • b)
    (log⁡y)- (log⁡x)= 0
  • c)
    log⁡y - log⁡x = 0
  • d)
    2 log⁡x + log⁡y = 0
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Find the particular solution of the differential equation.a)(logy)2+ (...

Separating the variables, we get

Integrating both sides, we get

First, for integrating logy/y
Let log⁡y = t
Differentiating w.r.t y, we get
1/y dy=dt
∴ 

Hence, equation (1), becomes

Given y = 2, we get x = 2
Substituting the values in equation (2), we get

C = 0
Therefore, the equation becomes

∴ (log⁡y)2  - (log⁡x)2 = 0.
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Find the particular solution of the differential equation.a)(logy)2+ (logx)2= 0b)(logy)2- (logx)2= 0c)logy - logx = 0d)2 logx + logy = 0Correct answer is option 'B'. Can you explain this answer?
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Find the particular solution of the differential equation.a)(logy)2+ (logx)2= 0b)(logy)2- (logx)2= 0c)logy - logx = 0d)2 logx + logy = 0Correct answer is option 'B'. 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 Find the particular solution of the differential equation.a)(logy)2+ (logx)2= 0b)(logy)2- (logx)2= 0c)logy - logx = 0d)2 logx + logy = 0Correct answer is option 'B'. 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 Find the particular solution of the differential equation.a)(logy)2+ (logx)2= 0b)(logy)2- (logx)2= 0c)logy - logx = 0d)2 logx + logy = 0Correct answer is option 'B'. Can you explain this answer?.
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