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Question

Mathematics Question on Solution of Differential Equations

The solution of the differential equation cosx siny dx + sinx cosy dy = 0 is:

A

sinx - siny = C, where C is a constant.

B

sinx siny = C, where C is a constant.

C

cosx cosy = C, where C is a constant.

D

sinx + siny = C, where C is a constant.

Answer

sinx siny = C, where C is a constant.

Explanation

Solution

The correct option is (B): sinx siny = C, where C is a constant.