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 |
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**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 |
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Differential Equations of first order but not of first degree unit-2 |
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Higher order linear differential equations unit-3 |
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Higher order linear differential equations (continued.) unit-4 |
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Higher order linear differential equations with non-constant coefficients unit-5 |
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