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

Solve the differential equation x(d^(2)y)/(dx^(2))+(dy)/(dx)+x=0

The solution of the differential equation x+y(dy)/(dx)=2y is

The order of the differential equation 2x^2(d^2y)/(dx^2)-3(dy)/(dx)+y=0 is

Show that y=be^(x)+ce^(2x) is a solution of the differential equation (d^(2)y)/(dx^(2))-3(dy)/(dx)+2y=0

Show that y=be^(x)+ce^(2x) is a solution of the differential equation (d^(2)y)/(dx^(2))-3(dy)/(dx)+2y=0

y = log x + c is a solution of the differential equation x(d^(2)y)/(dx^(2)) + (dy)/(dx) = 0

Show that y=ae^(2x)-be^(-x)i s a solution of the differential equation (d^(2)y)/(dx^(2))-(dy)/(dx)-2y=0

Show that y=ae^(2x)+be^(-x) is a solution of the differential equation (d^(2)y)/(dx^(2))-((dy)/(dx))-2y=0

Verify that y=a/x+b is a solution of the differential equation (d^(2)y)/(dx^(2))+2/x((dy)/(dx))=0.