Definitions & Terminology

Practice Questions

Differential Equations › Definitions & Terminology

Questions

State the order of the given differential equation and determine if it is linear or nonlinear.

Which of the following three equations enjoy both local existence and uniqueness of solutions for any initial conditions?

$2: y' = y^{2/3}$

$3: y' = y^{4/3}$

Which of the following definitions describe an autonomous differential equation.

State the order of the given differential equation and determine if it is linear or nonlinear.

Find Order and Linearity of the following differential equation

$\frac{d^3y}{dt^3} + t\frac{d^2y}{dt^2} + (\cos^2{t})y = t^3$

State the order of the given differential equation and determine if it is linear or nonlinear.