Find the order and degree of the differential equation `log_e(1+(d^2y)/dx^2)=x`

Find the order and degree of the differential equation . (d^(2)y)/(dx)^(2)+x((dy)/(dx))^(3)-1=0

Find the sum of order and degree of the differential equation (d^2y)/(dx^2)=[1+((dy)/(dx))^2]^3

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

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

Find the order and degree of the following differential equation: ((d^3y)/dx^3)^2-x((dy)/(dx))^3.

Find the order and degree of the differential equation. (d^(3)y)/(dx^(3))=sqrt(x+((dy)/(dx))^(3))

Determine the order and degree of the differential equation (d^2y)/dx^2=sqrt(1+((dy)/(dx))^2)

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

Find the order and degree of the following differential equation: ln((dy)/(dx))=ax+by

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