複選題十一、 Solve for y(x) the first order differential equation
xy'(x) - 4x
2y(x) + 2y(x)ln(y(x)) = 0
by the substitution u = In(y(x)). Which of the following statements is/are true?
(A) It is a nonlinear ordinary differential equation for the dependent variable y.
(B) It is a nonlinear ordinary differential equation for the new variable u.
(C) There exists a solution y(x) satisfying the condition y(0) = 1.
(D) There exists a solution y(x) satisfying the condition y(1) = 1.
(E) None of the above are true.
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