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exact differential equation

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t
has
ef
þautial
Coi
firzt ordy
total
leeinaim
9u dy
oi feti a
Cie
2
Then
Cnsile
+
clu
bec s
2
2
2
Then
Tuus
2
(|+2g) d
bemy
2
This
Ht
M,y) d
e
to
(ie. du
t NC, y)y
f
be
du
M(a,y)d
du l
ue*y). uoite
t N 3) y)
leia
ves.
2
X
24N)
coni'ny
ofetial
A
iies
tten
exa
M)
-)
by
M ,y) d
+
teatcd
Chotan
ohe
Can
be
sbtaiud
g
|altenati
both
ods
w-r t
N9) oy
be
oBtai md
31.
2
+ (sy
Ezanti ).
24 +losta+y)dy
-O
Test
Stef 1:
May dx
for
+Nixy)
dyy
Hy)
.
3y ray t Cos(zt)
Sin (x ty)
N
Eza t
het ux,y)
pol
luinae
2:
L
Csntinups
þatial
witt
be comus
by
be
ne
Re
he
we
4
iws by
Ain (zty) t
tJ
Ecaols 2:
STEP
Tet
2
N*.y)=Y
NU,y)
a
Na
di feti al
Let
þatial oleiatis
STER 2:.
Conues
)
besm
dy
me
get
be
u
both
By idgat
iols
a
4
we
y)
an
Thus
Gtat
Const a t
awbi
abit
Practice
Pro blens
(:4 (Page 26)i
Roble
O, O.O., 0.
O.
Moe 9uesti:
et2y) y
2
2
2
ee
(e
(r-yt3)dy o
2
+
2x+e
e
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