The solution of differential equation ( x2 - yx2 ) dy + ( y2 + x2y2) dx = 0 is
1/x + y + log y = c
1/y+ y + 1/y 2 = c
1/y + 1/x + log y - x = c
None of these
The solution of differential equation is.
(1 + y2 ) (1 + x 2 ) = cx2
(1 - y2 ) (1 + x 2 ) = cx2
(1 + y2 ) (1 - x 2 ) = cx2
(1 - y2 ) (1 - x 2 ) = cx2
The solution of differential equation dy/dx + y tan x = sec x is
sin x
( sin x ) -1
e sin x
( cos x ) -1
On putting y = vx, the homogeneous DE x2dy + y ( x + y) dx = 0 becomes :
xdv + ( 2v + V2 ) dx = 0
vdx + (2x + x2) dv =0
V2dx - ( x + x2 ) dv = 0
vdv + ( 2x + x2 ) dx = 0
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 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 x dy/dx = y + x tan y/x is
sin x/y = cx
sin y/x = cx
sin x/y = cy
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 dy/dx + y/x = x2 is.
4xy = x4 + c
xy = x4 + c
4xy - x4 + c
