Find the order and degree of the following differential equation: `e^((d^3y)/(dx^3))-x(d^2y)/(dx^2)+y=0`

Find the order and degree of the following differential equation: (d^2y)/(dx^2)=[y+((dy)/(dx))^6]^(1/4)

Find the order and degree of the following differential equations. i) (dy)/(dx)+y=1/((dy)/(dx)) , ii) e^((d^(3)y)/(dx^(3)))-x(d^(2)y)/(dx^(2))+y=0 , iii) sin^(-1)((dy)/(dx))=x+y , iv) log_(e)((dy)/(dx))=ax+by v) y(d^(2)y)/(dx^(2))+x((dy)/(dx))^(2)-4y(dy)/(dx)=0

Find the order and degree of the differential equation ((dy)/(dx))^(2)-sin^(2)y=0.

Find the order and degree of the differential equation ((d^(2)y)/(dx^(2)))^(3)+((dy)/(dx))^(5)=0

Find the order and degree of the differential equation (d^(3)y)/(dx^(3)) = root(3)(1+(d^(3)y)/(dx^(3))

The order and degree of the differential equation ((dy)/(dx))^(2) = x + (d^(2)y)/(dx^(2)) are :

Find the order and degree of the differential equation y'''+2y''+y'=0.