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MHT CET20227 Aug 2022Morning ShiftMathematicsDifferential EquationsActual

The general solution of differential equation e^ 1 2 ( d y d x ) =3^x is (where C is a constant of integration.)

Options

  1. Ay=x 3+C
  2. By=x^2 3+C
  3. Cy=2 x 3+C
  4. Dx=( 3) y^2+C

Correct answer

B. y=x^2 3+C

Step-by-step solution

aligned & e^ 1 2 ( d y d x ) =3^x 1 2 d y d x = _e 3^x=x _e 3 & d y d x = (2 _e 3 ) x & y=2 _e 3 x^2 2 +c & y=x^2 _e 3+c aligned

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