Verify that `y=ae^(3x)+be^(-x) ` is a solution of differential equation `(d^2y)/(dx^2)-2(dy)/(dx)-3y=0`

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

Verify tht y=e^(x) cos bx is a solution of the differential equation (d^(2)y)/(dx^(2))-2(dy)/(dx)+2y=0.

Verify that y=e^x(acosx+csinx) is a solution of the differential equation (d^2y)/dx^2-2(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.

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

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

Verify that y=cx+2c^(2) is a solution of the differential equation 2((dy)/(dx))^(2)+x(dy)/(dx)-y=0

Verify that y=4sin3x is a solution of the differential equation (d^(2)y)/(dx^(2))+9y=0