Determine the order and degree of the following differential equation. State also whether they are linear or non-linear: `(d^3x)/(dt^3)+(d^2x)/(dt^2)+((dx)/(dt))^2=e^t`

Determine the order and degree of the following differential equation. State also whether they are linear or non-linear: (d^2y)/(dx^2)+4y=0

Determine the order and degree of the following differential equation. State also whether they are linear or non-linear: ((dy)/(dx))^2+1/(dy//dx)=2

Determine the order and degree of the following differential equation. State also whether they are linear or non-linear: root(3)((d^2y)/(dx^2))=sqrt((dy)/(dx))

Determine the order and degree of each of the following differential equation. State also whether they are linear or non-linear: y(d^2x)/(dy^2)=y^2+1

Determine the order and degree of each of the following differential equation. State also whether they are linear or non-linear: (dy)/(dx)+e^y=0

Determine the order and degree of each of the following differential equation.State also whether they are linear or non-linear: (d^(3)x)/(dt^(3))+(d^(2)x)/(dt^(2))+((dx)/(dt))^(2)=e^(t)

Determine the order and degree of each of the following differential equation. State also whether they are linear or non-linear: (d^3y)/(dx^3)+(d^2y)/(dx^2)+(dy)/(dx)+ysiny=0

Determine the order and degree of the following differential equation. State also whether they are linear or non-linear: (d^2y)/(dx^2)+((dy)/(dx))^2+x \ y=0

Determine the order and degree of each of the following differential equation.State also whether they are linear or non-linear: (dy)/(dx)+e^(y)=0

Determine the order and degree of each of the following differential equation. State also whether they are linear or non-linear: (d^3y)/(dx^3)+((d^2y)/(dx^2))^5+(dy)/(dx)+4y=sin x