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MHT CET2010MathematicsDifferential Equations

The solution of the differential equation y(1+ x) d x d y -x x=0 is

Options

  1. Ax x=y+c
  2. Bx x=y c
  3. Cy(1+ x)=c
  4. Dx-y=c

Correct answer

B. x x=y c

Step-by-step solution

Given differential equation is y(1+ x) d x d y -x x=0 array ll & 1+ x x x d x= d y y & 1 x x d x+ 1 x d x= 1 y d y & ( x)+ x= y+ c & x x=y c array

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