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MHT CET202014 Oct 2020Evening ShiftMathematicsDifferential EquationsActual

Solution of the differential equation d y d x +2 y=e^ -x is

Options

  1. Ay e^ x =x+c
  2. By e^ 2 x =x+c
  3. Cy e^ x =e^ 2 x +c
  4. Dy e^ 2 x =e^ x +c

Correct answer

D. y e^ 2 x =e^ x +c

Step-by-step solution

dy dx +2 y = e ^ -x I.F. = e ^ 2 dx = e ^ 2 x ye ^ 2 x = e ^ 2 x e ^ - x dx + c y e ^ 2 x = e ^ x dx + c ye ^ 2 x = e ^ x + c

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