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

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

Verify that y=A cos x-B sin x is a solution of the differential equation (d^(2)y)/(dx^(2))+y=0

Verify that y=A cos x-B sin x is a solution of the differential equation (d^(2)y)/(dx^(2))+y=0

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

y = log x + c is a solution of the differential equation x(d^(2)y)/(dx^(2)) + (dy)/(dx) = 0

Show that y=e^(x)(A cos x+B sin x) is the 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