A homogeneous differential equation of the from 
dx
hx
dy
⎛y
⎞
=
⎜
⎟
⎝
⎠  can be solved by
making the substitution (A) y = vx
(B) v = yx
(C) x = vy
(D) x = v
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DIFFERENTIAL EQUATIONS
407
17 Which of the following is a homogeneous differential equation (A) (4x + 6y + 5) dy – (3y + 2x + 4) dx = 0
(B) (xy) dx – (x3 + y3) dy = 0
(C) (x3 + 2y2) dx + 2xy dy = 0
(D) y2 dx + (x2 – xy – y2) dy = 0
9