DIFFERENTIAL EQUATIONS

                                            DIFFERENTIAL EQUATIONS
                                                                   Unit-I
Differential Equations Definition,Order and Degree of differential Equation,Linear and Non-Linear Differential Equation,Formation of Differential Equation through elimination of arbitary constant,Complete Primitive,General Solution of ordinary Differential Equation,Equation of First order and First degree:Separation of variable

                                                                   Unit-II
Homogeneous Differential Equations,Equations reducible to the homogeneous form,Exact Differential Equations,Condition of Exactness,Integrating Factor,Rules for finding Integrating Factor

                                                                   Unit-III
First Order linear Differential Equations:Integrating Factor,Equations reducible to first order linear equations,Bernoulli's equation,Orthogonal Trajectories:Definition and determination of Orthogonal trajectories in cartesian and Polar coordinates

                                                                   Unit-IV
Higher Order linear Differential Equations with constant coefficients:Complementary function,particular Integral(PI).Methods for finding PI,Euler's homogeneous equation and reduction to an equation of constant coefficients

                                                                   Unit-V
Equaion of First order but not of First degree:Clairaut's Equations,Singular solutions
Exact Equations:Condition for exactness of a linear equation of order n.