TS EAMCET · Maths · Differential Equations
The solution of the differential equation \(\frac{d y}{d x}=1-\cos (y-x) \cot (y-x)\) is
- A \(x \tan (y-x)=c\)
- B \(x=\tan (y-x)+c\)
- C \(x=\sec (y-x)+c\)
- D \(x+\sec (y-x)=c\)
Answer & Solution
Correct Answer
(D) \(x+\sec (y-x)=c\)
Step-by-step Solution
Detailed explanation
We have, \[ \frac{d y}{d x}=1-\cos (y-x) \cot (y-x) \] Put \(y-x=v \Rightarrow \frac{d y}{d x}=1+\frac{d v}{d x}\)…
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