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Question

Two differential equations are given below.
A. (x2+y2)dx−2xydy=0
B. (x2+sinx)dx+(siny)dy=0

can be solved using variable separable method.

A
Only A
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B
Only B
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C
Both A and B
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D
Neither A nor B
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Solution

The correct option is B Only B
In variable separable method, we proceed by separating the x terms and y terms to different sides of the equality and then integrate. In this case x and y terms can be separated only in the case of B.

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