+ 2?R eraluate l F x di Where is me cuwe pron G0,0) ho Q,2,)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
In this how did a minus sign come between 4t cube and 2 t raise to 4 . It should be +ve right ?
![1:23
Q 43%
Expert Answer o
Stepl
a)
:.dr= dxT+ dy니 +dzk
.: Fxdv =
ny -z
dn dy dz
. Fxdř = i[-zdz-x'dy]-J[xydz -aidn] +R [xydy+zd^]
But x=t?, y=at, z=t³, te[o,1]
: dn=à tdt, dy= dt, dz = 3 t?dt
. Fxdř = T[3t° zt*]dt- [st5= 2 t5at F [4t²- 2t*Jdt
..7xdF =[(-3t²-2t*)7 +(2t5-6t$) +(4+²-& t* JE ]dt
Step2
b)
ExdT =
t=0
- 4
%3D
Was this solution
?
II](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29cb423a-a6af-4d5a-aec0-69e5020a83f1%2F48eb336b-557b-4355-b35d-0ce1e7ea74b5%2Fmtnu1ck_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1:23
Q 43%
Expert Answer o
Stepl
a)
:.dr= dxT+ dy니 +dzk
.: Fxdv =
ny -z
dn dy dz
. Fxdř = i[-zdz-x'dy]-J[xydz -aidn] +R [xydy+zd^]
But x=t?, y=at, z=t³, te[o,1]
: dn=à tdt, dy= dt, dz = 3 t?dt
. Fxdř = T[3t° zt*]dt- [st5= 2 t5at F [4t²- 2t*Jdt
..7xdF =[(-3t²-2t*)7 +(2t5-6t$) +(4+²-& t* JE ]dt
Step2
b)
ExdT =
t=0
- 4
%3D
Was this solution
?
II
![+ 2?R eraluate l F x di
Where
is me
uwe
2t,2it3
from G0,0)
6.
ho Q,2,1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29cb423a-a6af-4d5a-aec0-69e5020a83f1%2F48eb336b-557b-4355-b35d-0ce1e7ea74b5%2Fi7o7yrp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:+ 2?R eraluate l F x di
Where
is me
uwe
2t,2it3
from G0,0)
6.
ho Q,2,1)
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