CharacterizeEq

CharacterizeEq[eq]
gives structural details about a differential equation or a system of differential equations eq.
  • The information provided is, independent variables, dependent variables, the highest order for each dependent variable and the derivatives present for each dependent variable. The general form of the output is {{indpVars1, indpVars2, ...}, {depVars1, depVars2, ...}, {{depVars1, maxDerivative1},...}, {{depVars1,derivative1,derivative2,...},...}}. The derivatives are given as lists representing the times each argument of the function was differentiated.