TS EAMCET · Maths · Differential Equations
If the general solution of the differential equation \((y-x+1) d y-(y+x+2) d x=0\) is \(f(x, y, c)=0\), then the value of \(c\) such that \(f(1,1, c)=0\) is
- A 4
- B -4
- C 2
- D 1
Answer & Solution
Correct Answer
(C) 2
Step-by-step Solution
Detailed explanation
(c) We have, \[ \begin{array}{r} (y-x+1) d y-(y+x+2) d x=0 \\ y d y-x d y+d y-y d x-x d x+2 d x=0 \\ y d y+d y-(x d y+y d x)-x d x+2 d x=0 \end{array} \] On integrating, we get…
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