The solution of the differential equation (4 x+2 y-2) d x-(2 x+y+1) d y=0 :

Mathematics · JEE Main · NTA Exams — Differential Equations

1. \(\frac{1}{2}(2 x+y+\log (2 x+y))=x+c\)
2. \(\frac{1}{2}(2 x-y+\log (2 x+y))=x+c\)
3. \(\frac{1}{4}(2 x+y+\log (2 x+y))=x+c\)
4. none of these

Answer

(C) 1 4 (2 x+y+ (2 x+y))=x+c

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