Show that the function `y=Acos2x+Bsin2x` is a solution of the differential equation `(d^2y)/dx^2+4y=0`

Show that the function y=A cos x+b sinx is as solution of the differential equation (d^2y)/(dx^2)+y=0.

Show that the function y=A cos\ 2x-B sin\ 2x\ is a solution of the differential equation (d^2y)/(dx^2)+4y=0.

Show that y=Acosx+Bsinx is a solution of differential equation (d^(2)y)/(dx^(2))+y=0 .

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

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

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

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

Verify that "y"="Acos x"-"Bsinx" is solution of the differential equation (d^2y)/("dx"^2)+"y"=0

The solution of the differential equation (dy)/(dx)=(4x+y+1)^(2) , is

Show that y=x sin x is a solution of the differential equation (d^(2)y)/(Dx^(2))+y-2cosx=0 .