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Most Important Selected Qs for JEE AdvancedMathematicsDifferential Equations

Let y=f(x) be a curve passing through (e, e^e ) , which satisfy the differential equation (2 n y+x y x) d x-x x d y=0, x 0, y 0 . It g(x)= _ n f(x) then _ 1 / e ^e g(x) d x equals to

Options

  1. Ae
  2. B1
  3. C0
  4. Dnone of these

Correct answer

C. 0

Step-by-step solution

aligned & f(x)=e^x( x)^ 2 n & _ n f(x)=0, if x ( 1 e , e ) & _ 1 / e ^e g(x) d x=0 aligned

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