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JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Analyzing +4 | -1
If y(x−y)2=xy(x-y)^2=x, then
∫dx(x−3y)=mnln⁡[(x−y)2−1]\int \frac{d x}{(x-3 y)}=\frac{m}{n} \ln \left[(x-y)^2-1\right].Then (m+2n)(m+2 n) is equal to
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Correct option: C
5
Option C (5) is correct because, after differentiating the given equation and substituting into the integral, the value of m+2n is found to be 5.

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