Question
Asked Oct 10, 2019
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Can you please check my work for question 14? I know it it hard to follow, but I don't know if I got the final correct reduced answer. Thank you. 

1J
224
But most
Section 3.5
e waters
color will
mple, C
14 e sin
vater of i
esinx)
dx
e heated
sd d cy
dx
ple will b
dy
Sin sinC)e
a2 ion)
le comp
inal unk
Sinc)+ Cos () e
overall
SOAS
+ Y+X
.Sin (+cos (De
काणा)
4(s)
sulfate
e d SiniX)+CosC) e+y+X Cotinued
24's ansuer
solid.
unkr
sUtfa
dx
Lon last poge
2y+4412 (2,) (ellipse octer
2.
28
2t 20t+4y y
dX
2x+59 (2x-2y)
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1J 224 But most Section 3.5 e waters color will mple, C 14 e sin vater of i esinx) dx e heated sd d cy dx ple will b dy Sin sinC)e a2 ion) le comp inal unk Sinc)+ Cos () e overall SOAS + Y+X .Sin (+cos (De काणा) 4(s) sulfate e d SiniX)+CosC) e+y+X Cotinued 24's ansuer solid. unkr sUtfa dx Lon last poge 2y+4412 (2,) (ellipse octer 2. 28 2t 20t+4y y dX 2x+59 (2x-2y)

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plo
3+4Int In2(X)
(3+4nc+ In CX
43
3+In(x)
14 Continued.
dx
Ix
sinXY=Cose +14y
dax
CoSC)e t+y
e sineX
dx
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plo 3+4Int In2(X) (3+4nc+ In CX 43 3+In(x) 14 Continued. dx Ix sinXY=Cose +14y dax CoSC)e t+y e sineX dx

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Step 1

The given equation is,

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e sin X X Xy

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Step 2

Differentiate the above equation on both sides using the product rule.

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ax)-x) e) d (X+Xy dX dre sin d d d d (x)+ dx (sin X) +sin X dx e (H) dX ecos Xsin X e' . 1+X dX dX

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Step 3

Group the like terms a...

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dy sin X e -j. 1 + y-e cosX dy (sin X -e - X)1+y-e cos.X dX dy1+ y-ecos X sin Xe -X dX

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Tagged in

Math

Calculus

Differential Equations