orderandfirstdegreesolutionsoflineardifferentialequationofthetype: dy wherep andqarefunctionsofxand dx dx wherepandqarefunctionsofy dy Contents Definition, identifyadifferential equation order telltheorderand degreeofadifferentialequation anddegree verifythatthegivensolutionissolutionofagivendifferentialequation formadifferentialequationgivenitsgeneralsolution initialvaluesaregiven solvedifferentialequationsthatarereducibleto variableseparableform identifyhomogenousdifferentialequationoffirstdegreeandfirstorder Homog- solvethehomogenousdifferentialequationoffirstdegreeandfirstorder solvelineardifferentialequationofthetype Linear dy py pandqarefunctionsofx qdx solvelineardifferentialequationofthetype dx px q,dy pandqarefunctionsofy Applications solveproblemsofapplicationonco-ordinategeometry
orderandfirstdegreesolutionsoflineardifferentialequationofthetype: dy wherep andqarefunctionsofxand dx dx wherepandqarefunctionsofy dy Contents Definition, order anddegree Homog- Linear identifyadifferential equation telltheorderand degreeofadifferentialequation verifythatthegivensolutionissolutionofagivendifferentialequation formadifferentialequationgivenitsgeneralsolution initialvaluesaregiven solvedifferentialequationsthatarereducibleto variableseparableform identifyhomogenousdifferentialequationoffirstdegreeandfirstorder solvethehomogenousdifferentialequationoffirstdegreeandfirstorder solvelineardifferentialequationofthetype dy py qdx pandqarefunctionsofx solvelineardifferentialequationofthetype dx px q,dy pandqarefunctionsofy Applications solveproblemsofapplicationonco-ordinategeometry