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The general solution of the differential equation `(dy)/(dx)+(1+cos2y)/(1-cos2x)=0` is given byA. `tan y+cotx=c`B. `tan y-cotx=c`C. `tan x-coty=c`D. `tan x+coty=c` |
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Answer» Correct Answer - B We have , `(dy)/(dx)+(1+cos2y)/(1-cos2x)=0` `therefore (dy)/(dx)=-(1+cos2y)/(1-cos2x)=-(2cos^2y)/(2sin^2x)` `1+cosA=2cos^2(A)/(2)` `1-cosA=2sin^2(A)/(2)` `rArr int sec^2ydy=-intcosec^2xdx` `rArr tan y=cot x+C` |
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