Edit t2 Consider the vectors x(t) = ) and x (t) 6. 4t (a) Compute the Wronskian of x) and x(2). W = -2 t? (b) In what intervals are x and x) linearly independent? D = 0- (c) What conclusion can be drawn about coefficients in the system of homogeneous differential equations satisfied by x and x)? of the coefficients of the ODE in standard form One or morev must be discontinuous at to (d) Find the system of equations x' = P(t)x. P(t) :
Edit t2 Consider the vectors x(t) = ) and x (t) 6. 4t (a) Compute the Wronskian of x) and x(2). W = -2 t? (b) In what intervals are x and x) linearly independent? D = 0- (c) What conclusion can be drawn about coefficients in the system of homogeneous differential equations satisfied by x and x)? of the coefficients of the ODE in standard form One or morev must be discontinuous at to (d) Find the system of equations x' = P(t)x. P(t) :
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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Transcribed Image Text:Edit
(6)
and x (t) = ()
Consider the vectors x(t) = |
4t
(a) Compute the Wronskian of x1) and x(2).
X
W =
2 t2
(b) In what intervals are x) and x2) linearly independent?
D =
(c) What conclusion can be drawn about coefficients in the system of
homogeneous differential equations satisfied by x and x2)?
of the coefficients of the ODE in standard form
One or morev
must be discontinuous at to
= 0
(d) Find the system of equations x' P(t)x.
P(t) =
FULL
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