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^(2)y)/(dx^(2))-6(dy)/(dx)+9y=0

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

Solution of the equation (dy)/(dx)=e^(x-y)(1-e^y) is

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

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

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

Show that the function y=A cos x+bs in x is as solution of the differentia equation (d^(2)y)/(dx^(2))+y=0

Solution of the equation (x+2y^(3))(dy)/(dx)-y=0,(y>0) is

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 .