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^(2)y)/(dx^(2))+(dy)/(dx)-6y=0

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

verify that the given function is a solution of the differential equations : (d^(2)y)/(dx^(2))-2(dy)/(dx)+2y=0, y=e^(x)(sin x + cos x) .

verify that the given function is a solution of the differential equations : x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)-y=0,y=Ax+B/x .

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

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

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

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

The general solution of the differential equation (d^(2)y)/(dx^(2))+8(dy)/(dx)+16y=0 is

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