Math 2552 - Differential Equations
Sections F1 – F4; L1 – L4
Georgia Institute of Technology, Fall 2015
Worksheet 4
Some Non-Standard Differential Equations
1. y dx + (1 + yex)dy = 0.
2. (2 + e−x/y)dx + 2 1−
x
ydy = 0.
3. y0+yln y=yex.
4. dy
dx
−
4
xy= 2x5ey/x4
.
5. dy
dx +x+y+ 1 = (x+y)2e3x.
6. y0=y+x(y+ 1)2+ 1.
7. x2dy
dx + 2xy =x4y2+ 1.
8. xeyy0
−2ey=x2.
9. y0+ 1 = e−(x+y)sin x.
10. ydy
dx + 2xln x=xey.
11. y00 + (y0)2+ 1 = 0.
12. xy00 =y0+x(y0)2.
13. xy00 =y0+ (y0)3.
14. x2y00 + (y0)2= 0.
15. y0
−xy00
−(y00)3= 1.
16 y00 = 1 + (y0)2.
17. xy00
−y0= 0.
18. y00 + 2y(y0)3= 0.