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BITSAT2023MathematicsDifferential EquationsActual

The number of solutions of d y d x = y+1 x-1 , when y(1)=2 is

Options

  1. Anone
  2. Bone
  3. Ctwo
  4. Dinfinite

Correct answer

B. one

Step-by-step solution

Since, d y d x = y+1 x-1 d y y+1 = d x x-1 After integrating on both sides, we have (y+1)= (x-1)- C C(y+1)=(x-1) C= x-1 y+1 If x=1 , then y=2 , so C=0 Therefore, x-1=0 Hence, there is only one solution.

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