exercise unit 1 differential equation (hum3032)
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HUM 3032 2014
EXERCISE : UNIT 1 DIFFERENTIAL EQUATION
1. Determine the order and degree for the following :
(a) 0y2yy3)y( 2'2' =+−
(b) 0dx
yd)dx
yd(3
2
22
3
3=
+
(c) 0xy
dxdy 2 =+
2. Solve the following by using separable of variables.
(a) 23yx
dxdy
=
(b) 1)0(y;
ye
dxdy x
==
(c) )y1(x3
dxdy 22 +=
3. Solve the following by using the method of Integrating Factor.
(a) 6y3
dxdy
=−
(b) xy
x4
dxdy
=+
(c) 1)2(y;
1yyxy
dxdy
=+−
=
(d) 1)0(y;2y7
dxdy
==−