1.

The general solution of the DE ` (1+ x ^(2)) dy - xy dx = 0 ` isA. `y = C (1 + x ^(2)) `B. `y ^(2) = c (1 + x ^(2)) `C. `y sqrt (1 + x ^(2)) = C `D. none of these

Answer» Correct Answer - B
` int (1)/(y) dy = (1)/(2) int (2x)/((1+x ^(2))) dx rArr log y = (1)/(2) log (1 + x ^(2)) + log C`
`rArr log y = log (C sqrt ( 1+ x^(2))) rArr y = C sqrt (1 + x ^(2))` .


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