AP EAMCET · Maths · Differential Equations
The general solution of the differential equation \((x-y)^2 \frac{d y}{d x}=a^2\) is
- A \(y=a \log \left(\frac{x-y+1}{x+y-1}\right)+c\)
- B \(y=\frac{a}{2} \log \left(\frac{x-y-a}{x-y+a}\right)+c\)
- C \(y=\frac{a}{2} \log \left(\frac{x+y-a}{x-y-a}\right)+c\)
- D \(y=\frac{a}{4} \log \left(\frac{x-y+a}{x+y+a}\right)+c\)
Answer & Solution
Correct Answer
(B) \(y=\frac{a}{2} \log \left(\frac{x-y-a}{x-y+a}\right)+c\)
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