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AP EAMCET201823 Apr 2018Evening ShiftMathematicsDifferential EquationsActual

The solution of the differential equation d x d y +2 y x=2 y which passes through the point (2,0) is

Options

  1. A(x-1)=2 e^ y^2
  2. B(x-1)=2 e^ y^2
  3. C(x-1)=e^ y^2
  4. D(x-1)=e^ -y^2

Correct answer

D. (x-1)=e^ -y^2

Step-by-step solution

Given differential equation is, aligned & d x d y +2 y x=2 y & d x d y =2 y(1-x) d x 1-x = 2 y d y & - (x-1)=y^2+c aligned Since, curve (i) passes through the point (2,0) , so c=0 So, curve will be (x-1)=e^ -y^2

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