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Solution of diffrential equation (y+3) dx + (x-2) dy = 0  is 

 

  • Option 1)

    xy-3x+2x=C

  • Option 2)

    xy-3x-2y=C

  • Option 3)

    xy+3x+2y=C

  • Option 4)

    xy+3x-2y=C

 

Answers (1)

best_answer

As we have learned

General form of Variable Separation -

d\left ( xy \right )=ydx+xdy

-

 

 ydx+3dx+xdy-2dy=0\Rightarrow xdy+ydx+3dx-2dy=0

\Rightarrow d(xy) +3dx- 2dy =0

\Rightarrow \int d(xy) +3\int dx- 2\int dy =0

xy +3x-2y = C

 


Option 1)

xy-3x+2x=C

Option 2)

xy-3x-2y=C

Option 3)

xy+3x+2y=C

Option 4)

xy+3x-2y=C

Posted by

gaurav

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