Summary: 18.03ESG Exam 1
Pramod N. Achar
Fall 1999
Find the general solutions to the following differential equations. Where initial conditions are given,
find the particular solution as well.
1. xy
- 3y = x3
; y(1) = 10
2. (x2
+ y2
- y) dx + x dy = 0 (Use grouping.)
3. (4x + 3y3
) dx + 3xy2
dy = 0 (Use an integrating factor of the form xm
.)
4.
d3
y
dx3
+ 10