For the differential equation (x loge x)dy = (loge x – y)dx

(A) Degree of the given differential equation is 1.

(B) It is a homogeneous differential equation.

(C) Solution is 2y loge x + A = (loge x)2, where A is an arbitrary constant

(D) Solution is 2y loge x + A = loge(loge x), where A is an arbitrary constant

Choose the correct answer from the options given below : 

1
(A) and (C) only
2
(A), (B) and (C) only
3
(A), (B) and (D) only
4
(A) and (D) only

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