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NDA2010MathematicsDifferential EquationsActual

What is the general solution of (1+x^x ) y d y=e^x d x ?

Options

  1. Ay^2= [c^2 (e^x+1 ) ]^2
  2. By= [c (e^x+1 ) ]
  3. Cy^2= [c (e^x+1 ) ]
  4. DNone of the above where c is a constant of integration.

Correct answer

A. y^2= [c^2 (e^x+1 ) ]^2

Step-by-step solution

aligned & y d y= e^x e^ x+1 d x & y^2 2 = (e^x+1 )+ c & y^2=2 (e^x+1 )+2 c & y^2= (e^x+1 )^2 c^2 aligned

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