X Incorrect.Find the general solution of the given system of equations.3 -10x' =x+0<-3cos t") +:C)") +!C)3 cos t + sin t3 sin t - cost+ c210t sin i+-3X = C1t cos /-sintCos tsint3 cost - sin t().3 sin t+ cos t133t sint -X = C1+C2t cos t -4cos /cos tsint3 cos t - sint3 sin t+ cost+ c210t cost - -21X = C1t sini -cos t3Cos tsint3(6)동-3 cos t + sin t3 sint - cos t+ c210t cost - -2110cos t +3X = C1t sin i -sin tcostsin t33 cos t - sin/3 sin t+ cost+1t cos t-21010t sin i- -41x = C1+ c2cos tcos tsint3

Answered: Image /qna-images/answer/2758768d-23c2-44c6-a6ce-371b9be648ce.jpg

X Incorrect. Find the general solution of the given system of equations. 3 -10 x' = x+ 0<1 -3 Cos t ") +:C) ") +!C) ") •!("). 3 cos t + sin t 3 sin t - cost + c2 10 t sin i+- 3 X = C1 t cos t- sint Cos t sint 4 3 cos t - sint (). x = C1 3 sin t+ cos t 1 3 3 t sint - 3 cos / +C2 t cost - 4 Cost sint 3 cos t - sint 3 sin t+ cos t + c2 1 t cos t- - 2 10 X = C1 cos t 3 t sin - Cos t sint 3 ()- 3 cos t + sint 3 sin t - cos ! + C2 1 t cos /- - 2 10 10 cos t + 3 X = C1 t sin /- sin t Cos t sin t 3 4 3 cos t - sin/ 3 sin t+ cost + 0. 10 1 t sin t- 4 10 x = C1 +C2 t cos t- cos t Cos t sint 3 3

X Incorrect. Find the general solution of the given system of equations. 3 -10 x' = x+ 0<1 -3 Cos t ") +:C) ") +!C) ") •!("). 3 cos t + sin t 3 sin t - cost + c2 10 t sin i+- 3 X = C1 t cos t- sint Cos t sint 4 3 cos t - sint (). x = C1 3 sin t+ cos t 1 3 3 t sint - 3 cos / +C2 t cost - 4 Cost sint 3 cos t - sint 3 sin t+ cos t + c2 1 t cos t- - 2 10 X = C1 cos t 3 t sin - Cos t sint 3 ()- 3 cos t + sint 3 sin t - cos ! + C2 1 t cos /- - 2 10 10 cos t + 3 X = C1 t sin /- sin t Cos t sin t 3 4 3 cos t - sin/ 3 sin t+ cost + 0. 10 1 t sin t- 4 10 x = C1 +C2 t cos t- cos t Cos t sint 3 3

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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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

X Incorrect.
Find the general solution of the given system of equations.
3 -10
x' =
x+
0<
-3
cos t
") +:C)
") +!C)
3 cos t + sin t
3 sin t - cost
+ c2
10
t sin i+-
3
X = C1
t cos /-
sint
Cos t
sint
3 cost - sin t
().
3 sin t+ cos t
1
3
3
t sint -
X = C1
+C2
t cos t -
4
cos /
cos t
sint
3 cos t - sint
3 sin t+ cost
+ c2
10
t cost - -
2
1
X = C1
t sini -
cos t
3
Cos t
sint
3
(6)동-
3 cos t + sin t
3 sint - cos t
+ c2
10
t cost - -
2
1
10
cos t +
3
X = C1
t sin i -
sin t
cost
sin t
3
3 cos t - sin/
3 sin t+ cost
+
1
t cos t-
2
10
10
t sin i- -
4
1
x = C1
+ c2
cos t
cos t
sint
3

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