Classify each of the following differential equations. Are they ODE or PDE? Is it an equation or a system? What is the order? Is it linear or nonlinear? Is it homogeneous and/or constant coefficient? Is it autonomous? If it is nonlinear, tell which parts that make it so. (Please type the answers directly into your document.)(a) (d^3y)/(dx^3) (dy)/(dt) y^4 = 0(b) t^5y^(4) - t^3y” 6y = t