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MHT CET202020 Oct 2020Morning ShiftMathematicsDifferential EquationsActual

The equation of the curve whose slope at any point is equal to 2 x y and which passes through the point (0,1) is

Options

  1. Ay=x²
  2. By= 1 x
  3. C1 y =x
  4. Dy=x

Correct answer

A. y=x²

Step-by-step solution

We have d y d x =2 x y dy y = 2 x dx y= 2 x² 2 +C y=x²+C and curve passes through point (0,1) . At x=0, y=1 , we get C=0 y=x²

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