**Unformatted text preview: **Thursday, September 8, 2016
12:55 PM
afunction
Almost Exact linear DE
Integration
f alor
M (y ) - NCx)
my - NX . f(x ) jux ) = e
actors
IN
afunction of
(NC . ) - M ly dy
If ( N X - My )
4 alone
is fly ) .. pry ) -
N
m
31) (2y' . 3 x ) dx + 2xy dy 20
@ (24 - 3 )dx . (2x" )dy = 0
let m - 24 - 3x
2 xy 24 3 x 2 dx 1 272 y
let N - 2ky
let un - 2 x 4 + 3x 2
let N = 272 4
Z
fm = 4xy
Not IXACH
FY EXACT
IN = 4 x y
2 x
My- Nx 49 - 24 , 24
Now
flory ): (2y - 3 # ) dr dy
e
you can
multi
meaning
its Constant
33 ) Grydx + 4y + 9 1 2 dy - 0
let me loxy
let n = 4y 2 9 2
Nx - My _ 18 x - by . 12 , 2 ~ fly)
M
6xy
NOTE XACT
factor you
18x
most Multiply
& (Goryblic + 82 ( 4 4 + 9 , 2 )dy - 0
( ry ) dx - 4 43 + 9xy x- dy = 0
let in = Gys ?
let w = 4,3) + 9 xy42 ."_ f(my)- ( bry ) dx + gly )
2 1 EXACT
IN - 1 8 x 2
W = 1 9 x 2 , 2 1 9 1 9 ) - 9 - T x y...

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- Spring '17
- Chapter 2 Notes