Solve the differential equation `(d^(2)y)/(dx^(2))-4(dy)/(dx)+y=0`

Find the order of the differential equation (d^(2)y)/(dx^(2)) - (dy)/(dx) -6y = 0 .

Find the degree of the differential equation (d^(2)y)/(dx^(2)) - (dy)/(dx) - 6y = 0

If y=e ^((alpha +1)x) be solution of differential equation (d ^(2)y)/(dx ^(2)) -4 (dy )/(dx) +4y=0, then alpha is:

Solve the differential equation: (dy)/(dx)+y=e^(-2x)

Solve the differential equation: (dy)/(dx)+y=e^(-2x)

Solve the differential equation: (dy)/(dx)+y/x=x^2

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

Solve the differential equation: (x+3y^2)(dy)/(dx)=y

Solve the differential equation y-x(dy)/(dx)=a(y^(2)+(dy)/(dx)) .

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