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.`

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

Show that the function y=A cos x+b sinx is as solution of the differential equation (d^2y)/(dx^2)+y=0.

Show that y=b e^x+c e^(2x)\ is a solution of the differential equation (d^2y)/(dx^2)-3(dy)/(dx)+2y=0.

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

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

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

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

Show that \ y=A e^(B x) is as solution of the differential equation (d^2y)/(dx^2)=1/y((dy)/(dx))^2dot

Show that y=A x+B/x ,x!=0 is a solution of the differential equation x^2(d^2y)/(dx^2)+x(dy)/(dx)-y=0