Show that the function `y=(A+B x)e^(3x)` is a solution of the equation `(d^2y)/(dx^2)-6(dy)/(dx)+9y=0.`

Show that the function y=(A+Bx)e^(3x) is a solution of the equation (d^2y)/(dx^2)-6(dy)/(dx)+9y=0

Show that the function y=(A+Bx)e^(3x) is a solution of the equation (d^(2)y)/(dx^2)-6(dy)/(dx)+9y=0

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

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

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

Show that function y=be^x+ce^(2x) is a solution of the differential equation (d^2y)/(dx^2)-3(dy)/(dx)+2y=0 .