If x = cC2t is the complementary solution of the nonhomogeneous system3 -2x' =-2tX +t* -1then the particular solution of the system is2 -231 (-2t +101a) x? (t) =13/231b) x' (t)=|21013/211c) x' (t) =1013/2x' (t)1t +10d)1

From the options, we take the possible particular solution to be xp(t)=110-21t4-A13/2+B32t+C32 where…

If x' = c+i is the complementary solution of the nonhomogeneous system (3 -2 -2t , then the particular solution of the system is 2 -2 3 a) x' (t) =| 1 1 10 1 3 b) x° (t) =| 1 (-2) 1 10 1 1 1 c) 10 1 3/2 1 d) 2 10( 1

If x' = c+i is the complementary solution of the nonhomogeneous system (3 -2 -2t , then the particular solution of the system is 2 -2 3 a) x' (t) =| 1 1 10 1 3 b) x° (t) =| 1 (-2) 1 10 1 1 1 c) 10 1 3/2 1 d) 2 10( 1

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

If x = c
C2
t is the complementary solution of the nonhomogeneous system
3 -2
x' =
-2t
X +
t* -1
then the particular solution of the system is
2 -2
3
1 (-2
t +
10
1
a) x? (t) =
1
3/2
3
1
b) x' (t)=|
2
10
1
3/2
1
1
c) x' (t) =
10
1
3/2
x' (t)
1
t +
10
d)
1

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