The solution of differential equation x dy/dx = y ( log y - log x + 1 ) is
Log x/y = cy
Log y/x = cy
log x/y = cx
lot y/x = cx
The solution of differential equation is
sin -1 y + sin -1 x = c
sin -1 y - sin -1 x = c
sin -1 x + 2 sin -1 y = c
2 sin -1 y - sin -1 x = c
The solution of differential equation ( 1 - y ) x dy/dx + ( 1 + x ) y = 0 is
log xy + x + y = c
log xy + x -y =c
log xy - x - y = c
The integrating factor of the differential equation ( 1 + y2 ) dx - ( tan -1 y - x ) dy = 0 is
tan - 1 y
e tan -1 y
1/ 1 + y2
1/ x ( a + y2 )
The solution of differential equation x2 dy/dx = x2 + xy + y2 is
tan -1 ( y/x ) = log x + c
tan-1 (x/y) = log x + c
tan -1 ( x/y ) = log y + c
None of these
The Order and degree of differential equation are
1 and 1/2
2 and 1
1 and 1
1 and 2
The solution of differential equation dy/dx + y/x = x2 is.
4xy = x4 + c
xy = x4 + c
4xy - x4 + c
log ( 1 + y2 ) = tan -1 x + c
The solution of differential equation log ( dy/dx) = ax + by is