Contents
Differential Equations & Problem Solving Sessions
Unit – 1
Differential Equations of first order and first degree
Linear Differential Equations – Bernoulli’s Equations – Exact Differential Equations –Integrating factors – Equations reducible to Exact Equations by Integrating Factors
Unit – 2
Differential Equations of first order but not of first degree
Equations solvable for 𝑝, Equations solvable for 𝑦, Equations solvable for 𝑥 – Clairaut’s equation –
Orthogonal Trajectories: Cartesian and Polar forms.
Unit – 3
Higher order linear differential equations
Solutions of homogeneous linear differential equations of order 𝑛 with constant coefficients -Solutions of non-homogeneous linear differential equations with constant coefficients by means of polynomial operators
Unit – 4
Higher order linear differential equations (continued.)
Solution to a non-homogeneous linear differential equation with constant coefficients
Unit – 5
Higher order linear differential equations with non-constant coefficients
Linear differential Equations with non-constant coefficients; Cauchy-Euler Equation; Legendre Equation; Method of variation of parameters
2nd Semester Degree Mathematics Syllabus and exam pattern
| Differential Equations & Problem Solving Sessions syllabus | Click Here |
2nd Semester Degree Mathematics Material Download Units Wise Below
| Name of the unit | Download Link |
| Differential Equations of first order and first degree unit-1 | Click Here |
| Differential Equations of first order but not of first degree unit-2 | Click Here |
| Higher order linear differential equations unit-3 | Click Here |
| Higher order linear differential equations (continued.) unit-4 | Click Here |
| Higher order linear differential equations with non-constant coefficients unit-5 | Click Here |