Show that `y=ax+(b)/(x), x ne 0` is a solution of the differential equation `x^(2)y''+xy'-y=0.`

Show that y=mx+(7)/(m) ,m ne 0 is a solution of the differential equation xy' +7(1)/(y')-y=0

Show that y = (cos^(-1) x)^(2) is a solution of the differential equation . (1-x^(2))y '' - xy' - 2 = 0

Show that y =a cos (log x)+b sin (logx),x le 0 is a soluton of the differential equation x^(2)y''+xy'+y=0

Show that y=(a+bx)e^(2x) is a solution of the differential equation y''-4y'+4y=0.

Show that y=Ax+(B)/(x),x!=0 is a solution of the differential equation x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)-y=0

The solution of the differential equation (xy^4 + y) dx-x dy = 0, is

The solution of the differential equation (xy^4 + y) dx-x dy = 0, is

The solution of the differential equation (xy^4 + y) dx-x dy = 0, is

The solution of the differential equation (xy^4 + y) dx-x dy = 0, is