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 cos2x-Bs in2x is a solution of the differentia equation (d^(2)y)/(dx^(2))+4y=0

Show that the function y=A cos x+bs in x is as solution of the differentia equation (d^(2)y)/(dx^(2))+y=0

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

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

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

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

Solution of the differential equation (dy)/(dx)+(x-2y)/(2x-y)=0 is

Solution of the differential equation y dx+(x-y^(2))dy=0 is

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

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