cosec
0
dy
y
y
dx
x
⎛x
⎞
−
+
=
⎜
⎟
⎝
⎠
;  y = 0 when x = 1
15 2
2
2
2
0
dy
xy
y
x dx
+
−
=
;  y = 2 when x = 1
16 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
© NCERT
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DIFFERENTIAL EQUATIONS
407
17