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For the exact differential equation,

which one of the following is the solution?
  • a)
    u2 + 2x2 = constant
  • b)
    xu2 + u = constant
  • c)
    1/2x2u2 + u = constant
  • d)
    1/2ux2 + 2x = constant
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
For the exact differential equation,which one of the following is the ...
Given : The exact differential equation,


We know that,
A ordinary differential equation M du + N dx= 0 is to be exact.
If

That mean,
M = 2 + x2u, N = xu2


Here,
 [Exactness condition]
The given differential equation is exact (already given in question).
Solution for exact differential equation is given by,
 
[where, N is not containing x terms]

Hence, the correct option is (C).
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For the exact differential equation,which one of the following is the solution?a)u2 + 2x2 = constantb)xu2 + u = constantc)1/2x2u2+ u = constantd)1/2ux2 + 2x = constantCorrect answer is option 'C'. Can you explain this answer?
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