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MHT CET202123 Sep 2021Evening ShiftMathematicsDifferential EquationsActual

The general solution of the differential equation d x d t = x x t is

Options

  1. Alot x-x=c
  2. Be ^ ct + x =0
  3. Ct = x + c
  4. De ^ ct = x

Correct answer

D. e ^ ct = x

Step-by-step solution

aligned & d x d t = x x t & d x x x = d t t & | x|= |t|+ c & x=t c x=e^ t c aligned

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