[" & Verify that "y=Ax+(B)/(x)" is a solution of the differential equation "],[x^(2)(d^(2)y)/(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

Verify that y=e^(m sin^(-1)x) is a solution of the differential equation (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-m^(2)y=0.

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

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

Verify that the function y=e^(-3x) is a solution of the differential equation (d^(2)y)/(dx^(2))+(dy)/(dx)-6y=0

Verify that the function y=e^(-3x) is a solution of the differential equation (d^(2)y)/(dx^(2))+(dy)/(dx)-6y=0

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

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