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MHT CET202311 May 2023Evening ShiftMathematicsDifferential EquationsActual

The solution of the differential equation d y ~d x + y x = x is

Options

  1. Ax y+ x= x+ c , where c is a constant of integration.
  2. Bx(y+ x)= x+ c , where c is a constant of integration.
  3. Cy(x+ x)= x+ c , where c is a constant of integration.
  4. Dx y+ x= x+c , where c is a constant of integration.

Correct answer

B. x(y+ x)= x+ c , where c is a constant of integration.

Step-by-step solution

For given linear differential equation, I.F. = e ^ 1 x d x = e ^ x =x The required solution is y x= x x d y ~d x aligned & y x=-x x+ x ~d x & y x=-x x+ x+ c & x(y+ x)= x+ c aligned

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