Math | M.Sc.F.Y. I ODE | The Lipschitz Condition | Lect.52 | Dr. S. S. Bellale | DSCL

#M. Sc. #SET #NET #CSIR #UPSE #12th #11th #IIT-JAM #IIT-JEE #Mathematics #SidhshwarBellale #SRTMU #DayanandCollegeLatur #BAMU #SPPU #MU #SU #AMU #DU #BHU #KU #B.Sc. Definition of Metric Space
#Examplesof Metric Space#M. Sc. #SET #NET #CSIR #UPSE #12th #11th #IIT-JAM #IIT-JEE #Mathematics #SidhshwarBellale #SRTMU #DayanandCollegeLatur #BAMU #SPPU #MU #SU #AMU #DU #BHU #KU #B.Sc. Definition of Linear Equations with Constant Coefficients: Linear dependence and independence, A
formula for the Wronskian, the non-homogeneous equation of order two, the homogeneous
equation of order n, initial value problems for nth order equations, equations with real
constants, the non-homogeneous equation of order n, a special method for solving the non-
homogeneous equation.
Linear Equations with variable Coefficients: Initial value problems for the
homogeneous equations, Solution of homogeneous equation, the Wronskian and linear
independence, reduction of the order of homogeneous equation, the non homogeneous
equation, homogeneous equation with analytic coefficients, the Legendre equation.
Linear Equations with Regular Singular Points: the Euler equation, second order
equations with regular singular points-an example, second order equations with regular
singular points-the general case, the Bessel equation
Existence and Uniqueness of Solutions to first order Equations: equations with
variable separated, exact equations, the method of successive approximations, the Lipschitz
condition and convergence of successive approximation
Equations with variable separated,
Exact equations,
The method of successive approximations,
The Lipschitz condition and convergence of successive approximation