Question

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

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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solve (x^2+2y^2)dx/dy = xy

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