Show that `y=e^x(A\ cos x+Bsinx)` is the solution of the differential equation `(d^2y)/(dx^2)-2(dy)/(dx)+2y=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

y=acosx+bsinx is the solution of the differential equation (d^2y)/(dx^2)+y=0

y=acosx+bsinx is the solution of the differential equation (d^2y)/(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

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

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

The order of the differential equation 2x^2(d^2y)/(dx^2)-3(dy)/(dx)+y=0 is

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=acos(logx)+bsin(logx) is a solution of the differential equation x^2(d^2y)/(dx^2)+(dy)/(dx)+y=0.

Show that y=a cos(log x)+b sin(log x) is a solution of the differential equation x^2(d^2y)/(dx^2)+x(dy)/(dx)+y=0