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AP EAMCET202316 May 2023Evening ShiftMathematicsDifferential EquationsActual

If a curve passes through (1,2) and has the slope of its tangent 1- 1 x^2 at a point (x, y) , then the equation of that curve is

Options

  1. Ay=3 x- 1 x
  2. By=x+ 1 x
  3. Cy=2 x+ 1 x -1
  4. Dy=x+ 2 x -1

Correct answer

B. y=x+ 1 x

Step-by-step solution

Given dy dx =- 1 aligned & dy = (1- 1 x ^2 ) dx & y = x + 1 x + C aligned Since y (1)=2 C=0y(x)=x+ 1 x

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