Q34 of 76 Page 931

Find the general solution of each of the following differential equations:

cos x(1 + cos y)dx – sin y(1 + sin x)dy = 0


Given: cosx(1+cosy)dx-siny(1+sinx)dy=0


Dividing the whole equation by (1+sinx)(1+cosy), we get,


⇒


⇒ log|1+sinx|+log|1+cosy|=logc


⇒ (1+sinx)(1+cosy)=c


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