Question
The number of solutions of d y d x = y+1 x-1 , when y(1)=2 is
BITSAT
Mathematics
Differential Equations
2023
BITSAT 2023 (Memory Based Paper 1)
BITSAT Mathematics Question (2023) — Solution
Options
- A. none
- B. one
- C. two
- D. infinite
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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