y=4sin3x is a solution of the differential equation `(d^(2)y)/(dx^(2))+ky=0` where k is

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

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

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

Prove that y=e^(x)+m is a solution of the differential equation (d^(2)y)/(dx^2)-(dy)/(dx)=0 , where m is a constant.

The solution of the differential equation (dy)/(dx)+sin^2 y=0 is

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

Solution of the differential equation (dy)/(dx)+(2y)/(x)=0 , where y(1)=1 , is

Show that y=A sin x+B cos x+x sin x is a solution of differential equation y+(d^(2)y)/(dx^(2))=2cos x, where A,B are constants.

Verify that the functiony" "=" "a" "cos" "x" "+" "b" "sin" "x , where, a, b "" in R is a solution of the differential equation (d^2y)/(dx^2)+y=0 .

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