Question

The solution of the DE ` (dy)/(dx) = 1 - x + y - xy ` is
A. `log (1 + y ) = x - (x^(2))/( 2) + C `
B. `e^(1+ y ) = x - (x ^(2))/(2) +C `
C. ` e^(y)= x - (x^(2))/(2) +C `
D. none of these

Answer 1

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