Find the general solution of each of the following differential equations:
cos x(1 + cos y)dx – sin y(1 + sin x)dy = 0
Rearranging the terms we get:
Integrating both the sides we get:
⇒log|1 + sinx| = - log|1 + cosy| + logc
⇒log|1 + sinx| + log|1 + cosy| = logc
⇒(1 + sinx)(1 + cosy) = c
Ans: (1 + sinx)(1 + cosy) = c
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