webwork 2

① dy =
35yx4 yco )
-
5 find
yal
DX




f35x4dx
( dy
=




y

3.5×52 7×5
lnlyl = + C =
-1C
5

Ieee ?x5
ly I
=




'
"
(x ) Ae A tea A -



O
y
- -
=
, ,




"'
lo) 5 -
Acc )
-
>
Cx ) =
Se
y
=

y


② dy ) =
4 CX ) ( o) -

6 find
t cos ex cos
y y
-




y
DX




dy =
(4 y ) -

cos Cx )

DX




dig =
cos X DX

4
y
-




fcosxax
faddy
=




1h14 ) sin x t C
y
- - =




-
sinxtc
4 e
Y
-
=




4
sin "
K ee
-



t ke -



y
=
,




-
Sino
co ) =
4 t ke =
4 + K 6 → K =
2
y
=




- sins
4 tze
y
=

, ③ dig =i8xy (O ,
e ) find
my
ax (my )b


'




y
=
18×2
( thy )6

'
Mex )
Nly )
=

y
.




Nlg )
=

1h44 ,
Mex ) =18×


y


Ily) dy =
is


y
LHS RHS

U =

thy U -

substitution fl8Xdx
gig f dy you
= → -




18 fxdx
1+1

ubyaui 18
power rule

l -11
Y
18×2


26+1
Ubdu power rule


7
9×2
a- I
=




6-11 7




1h14 undo u -
substitution

7




.in#j--9xZtc
'

.




7




replace co ,
e )




inlet
C
=3
=




7=9×2
Ly
'

<
.
t

7


>

(Ing) =
63×2+1
"?

thy =
( 63×2+1 )