The general solution of the DE `(dy)/(dx) = (sqrt (1 - x ^(2))) (sqrt (1 - y ^(2)))` isA. ` sin ^(-1) y - sin ^(-1) x = x sqrt(1 - x ^(2)) + C `B. `2sin ^(-1) y - sin ^(-1) x = x sqrt(1 - x ^(2)) + C `C. `2 sin ^(-1) y - sin ^(-1) x = C `D. none of these

The general solution of the DE `(dy)/(dx) = (sqrt (1 - x ^(2))) (sqrt

1.	The general solution of the DE `(dy)/(dx) = (sqrt (1 - x ^(2))) (sqrt (1 - y ^(2)))` isA. ` sin ^(-1) y - sin ^(-1) x = x sqrt(1 - x ^(2)) + C `B. `2sin ^(-1) y - sin ^(-1) x = x sqrt(1 - x ^(2)) + C `C. `2 sin ^(-1) y - sin ^(-1) x = C `D. none of these
Answer» Correct Answer - B ` int ( dy ) /( sqrt (1 - y ^(2))) = int sqrt (1 - x^(2)) dx rArr sin ^(-1) y = (x)/(2) sqrt (1 - x ^(2)) + (1)/(2) sin ^(-1) x + C`. ` rArr 2 sin ^(-1) y - sin ^(-1) x = x sqrt ( 1 - x ^(2)) + C`.