Show that `y=a x^3+b x^2+c` is a solution of the differential equation `(d^3y)/(dx^3)=6a`.

Show that y=ax^(3)+bx^(2)+c is a solution of the differential equation (d^(3)y)/(dx^(3))=6a

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

The solution of the differential equation ((x+2y^3)dy)/(dx)=y is

The solution of the differential equation (x+2y^3)(dy)/(dx)=y is

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=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

The solution of the differential equation (d^(2)y)/(dx^(2))+3y=-2x is

The solution of the differential equation ((x+2y^(3))dy)/(dx)=y is