Consider the vectors x(t) = (and x2) (t) =6.4t(a) Compute the Wronskian of x) and x2).W(b) In what intervals are x and x2) linearly independent?x(1)D =(c) What conclusion can be drawn about coefficients in the system ofhomogeneous differential equations satisfied by x and x2)?x(1)Choose one ▼of the coefficients of the ODE in standard formmust be discontinuous at to :(d) Find the system of equations x' = P(t)x.

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Answered: Consider the vectors x"(t) =( t and x…

Consider the vectors x"(t) =( t and x (t) = ( 4t 6. (a) Compute the Wronskian of x) and x2). (1) W = (b) In what intervals are x and x2 linearly independent? 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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Question

Consider the vectors x(t) = (
and x2) (t) =
6.
4t
(a) Compute the Wronskian of x) and x2).
W
(b) In what intervals are x and x2) linearly independent?
x(1)
D =
(c) What conclusion can be drawn about coefficients in the system of
homogeneous differential equations satisfied by x and x2)?
x(1)
Choose one ▼
of the coefficients of the ODE in standard form
must be discontinuous at to :
(d) Find the system of equations x' = P(t)x.

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