For the system X'(t) = A(t)X(t)+ B(t).X(0) =| 0 where1e'e'e'e'te'te'0 and B(t) =| e'Then, the largest interval whereA(t) =e'te1+ 2tthe system is guaranteed to have a unique solution isa) (-1--)b) (--)c) (-1,1)d) [-글미

The largest interval containing t=0 at where every element function are continuous.

For the system X"(t) = A(t).X(t)+ B(t),X(0) = 0 where 1 e' e' e' A(t) = e e' 0| and B(t) =| e'| Then, the largest interval where te' te' 1-1 te 1+ 2t the system is guaranteed to have a unique solution is a) (-1-) b) (-) c) (-11) d) [-

For the system X"(t) = A(t).X(t)+ B(t),X(0) = 0 where 1 e' e' e' A(t) = e e' 0| and B(t) =| e'| Then, the largest interval where te' te' 1-1 te 1+ 2t the system is guaranteed to have a unique solution is a) (-1-) b) (-) c) (-11) d) [-

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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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

For the system X'(t) = A(t)X(t)+ B(t).X(0) =| 0 where
1
e'
e'
e'
e'
te'
te'
0 and B(t) =| e'
Then, the largest interval where
A(t) =
e'
te
1+ 2t
the system is guaranteed to have a unique solution is
a) (-1--)
b) (--)
c) (-1,1)
d) [-글미

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