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JEE Main2002MathematicsDifferential EquationsActual

The solution of the equation d^2 y d x^2 =e^ -2 x

Options

  1. Ae^ -2 x 4
  2. Be^ -2 x 4 +c x+d
  3. C1 4 e^ -2 x +c x^2+d
  4. D1 4 e^ -4 x +c x+d

Correct answer

B. e^ -2 x 4 +c x+d

Step-by-step solution

d^2 y d x^2 =e^ -2 x ; d y d x = e^ -2 x -2 +c ; y= e^ -2 x 4 +c x+d

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