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For a third-order homogeneous differential equation, the general solution is given by:
Yg(t) = Cf(t) + C2g(t) + C3h(t)
Which of the following statement(s) is/are correct?
I: f(t) may be constant
II: The functions f(t), g(t), and h(t) may have a maximum at the same point
III: The Wronskian of the functions f(t), g(t), and h(t) is nonzero
A) I and II
B) II and III
C) only III
D) only II
E) I and III

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Transcript

Hello, 1, so for a third order, homogeneous equation, homogeneous differential equation, the general solution is given by why g t is equal to c 1 t plus c 2 g, t plus c 3 h t so which of the following statement is correct. So statement 1 is f d by g. T plus h, t may be a…