1. HUM 3032 2014
EXERCISE : UNIT 1 DIFFERENTIAL EQUATION
1.
Determine the order and degree for the following :
(a)
( y ' ) 2 − 3 yy ' + 2y 2 = 0

2. HUM 3032 2014
(
(c)
2.
3
 d2 y 
)2 +  2  = 0
 dx 
dx 3


d3 y
(b)
dy
+ xy 2 = 0
dx
Solve the following by using separable of variables.

3. HUM 3032 2014
(a)
dy
= x3 y2
dx
dy e x
=
dx y
; y( 0 ) = 1
(b)
(c)
dy
= 3 x 2 (1 + y 2 )
dx

4. HUM 3032 2014
3.
Solve the following by using the method of Integrating Factor.
(a)
dy
− 3y = 6
dx
(b)
dy 4
+ y=x
dx x

5. HUM 3032 2014
dy xy − y
=
dx
y +1
;
y(2) = 1
(c)
(d)
dy
− 7 y = 2 ; y(0) = 1
dx

6. HUM 3032 2014
dy xy − y
=
dx
y +1
;
y(2) = 1
(c)
(d)
dy
− 7 y = 2 ; y(0) = 1
dx