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Manipal MET2011MathematicsDifferential Equations

Integrating factor of equation (x^2+1 ) d y d x +2 x y=x^2-1 is

Options

  1. A2 x x^2+1
  2. Bx^2-1 x^2+1
  3. Cx^2+1
  4. DNone of these

Correct answer

C. x^2+1

Step-by-step solution

Given differential equation can be rewritten as d y d x + 2 x 1+x^2 y= x^2-1 x^2+1 Here, P= 2 x 1+x^2 and Q= x^2-1 x^2+1 aligned IF & = e^ 2 x 1+x^2 d x =e^ (1+x^2 ) & =1+x^2 aligned

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