Mathematics

Mathematics

Problem

17. Which of the following is a homogeneous differential equation? (A) `(4x+6y+5)dy−(3y+2x+4)dx=0(4 x+6 y+5) d y-(3 y+2 x+4) d x=0` (B) `(xy)dx−(x3+y3)dy=0(x y) d x-\left(x^{3}+y^{3}\right) d y=0` (C) `(x3+2y2)dx+2xydy=0\left(x^{3}+2 y^{2}\right) d x+2 x y d y=0` (D) `y2dx+(x2−xy−y2)dy=0y^{2} d x+\left(x^{2}-x y-y^{2}\right) d y=0` (A) `(4x+6y+5)dy−(3y+2x+4)dx=0(4 x+6 y+5) d y-(3 y+2 x+4) d x=0` (B) `(xy)dx−(x3+y3)dy=0(x y) d x-\left(x^{3}+y^{3}\right) d y=0` (C) `(x3+2y2)dx+2xydy=0\left(x^{3}+2 y^{2}\right) d x+2 x y d y=0` (D) `y2dx+(x2−xy−y2)dy=0y^{2} d x+\left(x^{2}-x y-y^{2}\right) d y=0`

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