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Manipal MET2011MathematicsDifferential Equations

The solution of differential equation d y- x y d x=0 is

Options

  1. Ae^ x y 2 =C
  2. Be^ x y=C
  3. Cx y=C
  4. Dx y=C

Correct answer

A. e^ x y 2 =C

Step-by-step solution

Given equation can be rewritten as cosec y d y= x d x On integrating both sides, we get aligned & y 2 =- x+ C & y 2 C =- x & y 2 C =e^ - x & e^ x y 2 =C aligned

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