The solution of differential equation dy/dx + 2y = sinx is
y = 5 ( 2 sinx - cos x ) + c e 2x
y = ( 2 sinx - cos x ) + ce -x
y = ( 2 cos - sin x ) + ce - 2x
y = 1/5 ( 2 sinx - cos x ) + ce - 2 x.
The solution of differential equation is
log ( 1 + y2 ) = tan -1 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 log ( dy/dx) = ax + by is
The solution of differential equation (x2 - y2 ) dy/dx = xy is .
The solution of differential equation ( dy/dx) - y/x = 2x2 + 3x + 4 is
y = x3 + 3x2 + 4x logx + cx
y = x2 + 3x + 4 logx + c
y = x3 + 3x 2 + 4 log x + 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 ( x + y ) ( dx - dy ) = ( dx + dy ) is
x + y = ke x + y
x - y = ke x - y
x + y = ke x - y
x - y = ke x + y
