Subido por Joel castelan

Actividad 3 y 4 (1)

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Actividad
Carlos
Alberto
N
M
3
Velazquez
Camudio
My 4xy
Nx 4x
=
My
0
Nx
0
=
=
*
* M(x,y)
f(x,y)
x2
c(y) 4y
x
-
y
=
2
7
7y
+
y 7y
x
+
+
xy2
3x
-
Y
My
c=
=
M(x,y)
3x
=
f(x,y)
-
=
2)
2yNx
+
-
=
dy
c(y)
2y
-
-
2xy
exacta
es
E
4y
A
4x
- c(y) 4x By
-
2x
=
+
+
+
E
c
=
*lye
No
4yx c(y)
=
4y
+
M
=
=
z
+
c
4Nx 4
=
I xy3
-
Fax)dx
My 3x2y2
x
+
Nx
=
ydy
3x2y"
=
y N(x,y) xy
f(x,y) +cx)
-
2y4
4 4yx
+
=
c
*
+
5 c(x)
c(x)
-
+
1
-
3
/Fax
-
dr 3dx
3x
=
at
=
(1,d
Fax)
tanto
3
+C
=
-
=
c
=
tan'sx
I
2y c=f(x,y) 5(x3y tanxx)
xy3-tan'3x
dx
=
dx
=
tan3x
-
=
0
=
u
=
=
=
=
4
+
+
x2
My
=
+
=
=
cy)
+
+
=
=
*
c(y)
3x
&y xy c(y) (y
c(y)
+
cy) 3y
-
3
-
=
=
x
-
y
M(x,y) 2xy2
=
f(x,y) x2y2
=
=
=
E
3
My=
*
Nx=-senxcus
senxcosy
-
N(x,y)
cos xcus
=
=
f(x,y)
*
cosxseny
y
y
c(x)
+
=
senx
seny+ c(x) tanxreny
-
=
=
-
v COS
=
Itanx
dx
(- fdr
c(x)
4 +3
-
=
Af M(x,y)
4
=
=
4
(y
+
=
-
3
3
+
dx
x dx
c
1
3
+
-
3y
-
y
-
E
c
+
+
1
1) +
-
y
c(y)
+
+
+
+
=
5
=
-
cly) y3
+y -
sen
=
x
4 +d(y) 44 by
-
+
=
sen
+
+
dt
f(x,y)
-
c
N+ 4
1
du
=
+
seny-In1cus
=
-
(n1cosx)
(u)cos x)
-
=
cosx
My
-
=
=
du
dx
A
3
+
-
c
+
y
y3
+
+
c
+
I
7
-
-
Actividad 4
Carlos
dy udx
ux
y
=
(x
-
u)dx
~
x-d
k((1-) ydx
-
(n)x )
0
c
+
=
x(*
(n)x)
+
x(n/x)
y
+
5du
M
ku(u 1)dx -xudx
0
v((u )()dx xdv
-
=
=
-
e
V
c)
y((n)x) y 1)
=
=
+
E
xc
=
y(n/x)
ycE
=
x
+
(y x)dy (y x)dx
vydx vdy ydv
=
=
+
vy(vdy ydv) (y -zvy)dy
0
y
rigdy +vydv+y(1-2u)dy
0
(2 2 1)dy vydv
0
=
vydv=-(v-1)"dy
(da
=
-
a
c
+
c
+
=
(n(y)
-
(x
(x
y)(nx y)
-
-
y)(n)x y)
-
-
-
y
=
c
+
+
x)dx
+
+
-
1
y
c
-
i)dx
=
=
-
+
xdu
+
0
=
0
=
f(x)d
=
-
=
f(u)dx
I
iiten
v
=udv
v 1dr zudv
=
=
+
dut/i,
)I
du
↓Inlulttanu=In1x)
In1ul+ztan'u=2In1x)
2
+
c
+
in1vl+1n1x4) 2tant c
In 102+1) 1n1x) 2 tant
=
+
c
=
+
=
+
+
+
+
2tant
In1.*)
X
Inly x) 2tanz
+
=
xdu
+
xdv)
+
c
=
x)1 v)dx 0
~
v)dx 0
x 2(u 1)d x(1
-
(u 1)(udx
x
+
InIv-ll-(v-1) (n(y)
in1531-(*)
=
f(u)dx f(x)d
lid=(n(a)
dy udx
ux
=
(
=
+
+
a v
0
-
+
=
+
=
(y x)dy (x y)dx
+
+
-
-
=
+
x
E
+
+
0
=
0
x
=Yote
-
-
r
+
-
+
=
=
+
=
+
(du )
dx
=
0
=
=
+
=
+
+
+
xdr
0
=
xudx x2d
+
ux
y
+
+
Velazquez
Camudio
dy vdx xdu
(v vxdx x2(rdx xdu)
xdu
+
=
vx)dx x(udx xdu)
-
x(1
Alberto
=
(
=>
E
x
vdy ydv
dx
vy
=
+
=
y(udy + ydv) (vy
-
*
ry.y) dy
+
+
P(x)
-yvdy -ydu y(v + r)dy
k i v)dy ydv
-
0
(25 (ny)
( (y
c)
+
=
=
=
-
=
y(a
=
=
4f(x) In
=
/
Y
*)
+
1y
=
+
X
y
*
y(re!e
-
3
y
↑
*
X
4 z 24(x)
u
4
e2dxex
xu
=
1
=
xy4
2
+
P(x) 1f(x)
0
=
=
(vd
-dx
In1xl
=
E (n(x)
->
c
-
+
2
sts
+
y
3
a
ex
4
4
v
=
y xy
=
+
y
-
n
x44)
y
-
y
=
=
+
↑
-Ya
=
-
3dx
((e 3) I
-
3x.e
-
-
=
dv
3x
v
3dx
-3r
y
(x
xe(udx
uxex)dx
-
+
e
=
-
-
xdu) 0
x(ve+1) dx-uxedx-xed
x((ve+ 1) ve
-
xdx
=>>
-
xed
0
=
x
-
edu
xdx
=
S
*dx edu ed
~
=
=
x
2
e (n/x)
=>
dx
=
e"- (n11)
+
c
1 )
=
=
0
=
=
y
0
=
x
=
)
e- (n/x)
te
↑ 3 X
-
-
3x
dx
3x
I
en
-
x
-C
3
e
3x
+C
)
6I
-- éx
I
~-
*
3
*
+
!
-
3x
5 cex
+
+
j cex
+
+
t
-
>
-
>
c
=
(n1x) e=
x
3x
edu
=
=
=
x
vi
=
+
e
U
-
r-Judu
edx
x =x
+
=
3xdx
=
-
=
x
=
3x
-
=
u
xdu
=
3
y
=
e
-
dy wdx
4
=
-
E
du
-
y
+
-
ux
-
dX
=
=
-
x
v
+
4
dx
M(x) e)
c
=
dr
=
y1
=
=
=
y)
-
=
=
y
(11)
)
(n(x)
+3x/n(x)
(
-
=
3
=
-
=
=In/x't
c
+
3E
4 =-
-
-
=
+
-
=
y
=
U
+
+
xn
c
+
cx
+
y
-
=
=
=
0
*(1 -ydx Yudx xvd
0
(1 +y)dx xv2dr
(x)
y
=
a
=
0
+
*
*
+
=
+
xud
-
=
=
x
-
=
=
+
vx
c
1
-
=
I)
*
*
+
dy udx xdu
(x3 -3 3dx xvx2(udx~ xdu)
y
+ I
=
+
=
+
(a(xu) (dx
y3)dx xydy
=
=
=
y
=>
y
=
xy2dy (y3 x)dx
(x3
y3
y!
2u
=
=
2
y=
= sy=* *
=
=
+
+
0
y 1
-
4
=
+
1
E
- 23 19
=
+
dt
P()
4
=
-
=
-
1
y
2
j)(4
-
152.
-
f(t)
-
)
=
19
In
A
y=
dy
-
=
-
--
M(t) e)
+
a
=
zu
=
-
=
125)
-
-
e(ty
=
=
t
=
y
-y
-
I
y
1
y
-
=
1
+
1- 2
=
-
I
=Iz
=>
2
=e(n1+) t
=
=
(n)
+
1y
+
((+ v) (fa
-
t
y
=
y!
-
+
1
=
t
+
c) et
=
+
(n) 1
=
+
=
+
e e =tE
=
-
c
+
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