複選題十二 、 The Cauchy-Euler equation
x
2y"(x)-4xy'(x)+6y(x)=0
can be transformed into a constant coeficient equation y"(u) + by'(u) + cy(u) = 0 by the
substitution u = In(x). Which of the following statements is/are true?
(A) b= -5.
(B) c=-6.
(C) The solution y(x) exists only for x ＞ 0.
(D) y(x) = C1x2 + C2x3 for some constants C1 and C2.
(E) None of the above are true.
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