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KCET2013MathematicsDifferential Equations

The general solution of the differential equation 1-x² y² d x=y d x+x d y is

Options

  1. A(x y)=x+C
  2. B⁻¹(x y)+x=C
  3. C(x+C)=x y
  4. D(x y)+x=C

Correct answer

C. (x+C)=x y

Step-by-step solution

Given differential equation is array ll & 1-x² y² d x=y d x+x d y & 1-(x y)² d x=d(x y) & d x= d(x y) 1-(x y)² (on integrating) & x= ⁻¹(x y)-C & (x+C)=x y array

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