For a third-order homogeneous differential equation the general solution is given byyg (t) = c1f (t) + c2g (t) + c3h (t).Which of the following statement(s) is/are correct?I :f (t)g (t)+ h (t) may be a constantII : The functions f, g, and h may have maximum at same point t0III : Wronskian of the functions f, g, and h is nonzeroA) I and III B) II and III C) only III D) only II E)I and II 1. For a third-order homogeneous differential equation the general solution is given byYg (t) = c1f (t) + c29g (t) + czh (t).Which of the following statement(s) is/are correct?f (t)+h (t) may be a constantI:g (t)II : The functions f,9, and h may have maximum at same point toIII: Wronskian of the functions f,g, and h is nonzeroA) I and IIIB) II and IIIC) only IIID) only IIE)I and II

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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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For a third-order homogeneous differential equation the general solution is given by
yg (t) = c1f (t) + c2g (t) + c3h (t).
Which of the following statement(s) is/are correct?
I :
f (t)
g (t)
+ h (t) may be a constant
II : The functions f, g, and h may have maximum at same point t0
III : Wronskian of the functions f, g, and h is nonzero
A) I and III B) II and III C) only III D) only II E)I and II

1. For a third-order homogeneous differential equation the general solution is given by
Yg (t) = c1f (t) + c29g (t) + czh (t).
Which of the following statement(s) is/are correct?
f (t)
+h (t) may be a constant
I:
g (t)
II : The functions f,9, and h may have maximum at same point to
III: Wronskian of the functions f,g, and h is nonzero
A) I and III
B) II and III
C) only III
D) only II
E)I and II

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