Find order and degree: `log_e(1+(d^2y)/dx^2)=x`

Find order and degree: e^(dy/dx)=(1+(d^2y)/dx^2)

Find the order and degree of (d^2y)/dx^2+3(dy)/(dx)=ysin((d^2y)/dx^2)

Find the order and degree of x^2((d^2y)/dx^2)^3+y((dy)/(dx))^4+y^4=0 and also state whether its linear or non-linear.

Find the order and degree of (d^2y)/dx^2+4x=0 and also state whether its linear or non-linear.

Find the order and degree of (dy)/(dx)=e^x

Find order and degree: e^(dy/dx)=x^2+1

Find the order and degree of (d^3y)/dx^3-2sin((d^3y)/dx^3)=0

Find the order and degree of (d^3y)/dx^3+3(d^2y)/dx^2+3(dy)/(dx)+y=0 and also state whether its linear or non-linear.

Find the order and degree of (d^3y)/dx^3+((d^2y)/dx^2)^3+(dy)/(dx)+4y=sinx and also state whether they are linear or non-linear.

Find order & degree of equation xy ((d^2y)/dx^2)+x(dy/dx)^2-y(dy/dx)=0 ,