Differential Equation

The solution of the equation d2y/dx2 = e-2x is

  1. e-2x/4
  2. 1/4 * e-2x + cx2 + d
  3. e-2x/4 + cx + d
  4. 1/4 * e-4x + cx + d

Answer

d2y/dx2 = e-2x 

dy/dx = e2x/-2 + c

y= e-2x/4 + cx + d

The correct option is C.