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  • The General solutions dy/dx= 1- x^2 -y^2 +x^2 y^2

The General solutions dy/dx= 1- x^2 -y^2 +x^2 y^2

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Solution:  

                      fracmathrmd ymathrmd x=1-x^2-y^2+x^2 y^2

             herefore      fracmathrmd ymathrmd x=(1-x^2)(1-y^2)

         Rightarrow         fracdy1-y^2=(1-x^2)dx

             Integrating both side

       Rightarrow        int fracdy1-y^2=int (1-x^2)dx

      Rightarrow         frac12log (frac1+y1-y)=x-fracx^33+C

Posted by

Deependra Verma

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