(tan
1)
C
y
y
x e
e
y
−
−
−
=
−
+
or
x =
1
1
tan
(tan
1)
C
y
y
e
−
−
−
−
+
which is the general solution of the given differential equation Miscellaneous Exercise on Chapter 9
1 For each of the differential equations given below, indicate its order and degree
(if defined) (i)
2
2
2
5
6
log
d y
xdy
y
x
dx
dx
⎛
⎞
+
−
=
⎜
⎟
⎝
⎠
         (ii)  
3
2
4
7
sin
dy
dy
y
x
dx
dx
⎛
⎞
⎛
⎞
−
+
=
⎜
⎟
⎜
⎟
⎝
⎠
⎝
⎠
(iii)
4
3
4
3
sin
0
d y
d y
dx
dx
⎛
⎞
−
=
⎜
⎟
⎝
⎠
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MATHEMATICS
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