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

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

Verify that the function y = a cosx + b sinx , where, a,b in R is a solution of the differential equation ((d^2y)/dx^2) + y = 0

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

Verify that the function y=bcosx+asinx, where a and binR is a solution of the differential equation (d^(2)y)/(dx^(2))+y=0

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 .

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

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

Show that y=a cos bx is a solution of the differential equation (d^(2)y)/(dx^(2))+b^(2)y=0 .