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Find a general solution: (dy/dx) = (x+xy^2)/2y

Find a general solution: (dy/dx) = (x+xy^2)/2y

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Answer #1

Given differential equation ,  

Here we have separated two variables , so integrating both side we get ,

  

Suppose , then  

Substituting these in   we get ,

, where c is integration constant .

, as .

, where is an another constant .

Hence the required solution of the given differential equation is ,

  

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If you have dount or need more clarification at any step please comment .

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