A differential equation is given. Classify it as an ordinary differential equation (ODE) or a partial differential equation (PDE), give the order, and indicate the independent and dependent variables. If the equation is an ordinary differential equation, indicate whether the equation is linear or nonlinear. StartFraction d Superscript 4 Baseline y Over dx Superscript 4 EndFraction plus StartFraction d squared y Over dx squared EndFraction plus 8 y equals 5 cosine 4 x Classify the given differential equation. Choose the correct answer below. a. partial differential equation b. nonlinear ordinary differential equationc. linear ordinary differential equation