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

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 equation: ((d^3y)/dx^3)^2-x((dy)/(dx))^3.

Find the sum of the order and degree of the differential equation: (1 + (d^(2)y)/(dx^(2)))^((2)/(5))= (d^(3)y)/(dx^(3))

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

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: ln((dy)/(dx))=a x+b y

Write the order and degree of the differential equation (d^2y)/(dx^2)+((dy)/(dx))^(1//4)+x^(1//5)=0.

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

Find sum of the order and the degree of the differential equation : ((d^(2)y)/( dx^(2))) +2((dx^(2))/(d^(2)y)) = y^(2)

Find the order and degree of the following differential equations. i) (dy)/(dx)+y=1/((dy)/(dx)) , ii) e^(e^(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