|
S.No |
Unit |
Topic |
Set |
MCQs link |
YouTube Video |
|
1 |
I |
Linear
Differential Equation, Bernoulli's equation, Exact Differential Equation and
Ordinary Differential equation first order & Higher Degree |
A |
|
|
|
2 |
I |
Linear Differential
Equation of higher order with constant coefficient, Homogeneous differential
equation and Simultaneous differential equation |
B |
|
|
|
3 |
II |
Second-order
differential Equation: One Known solution, Removable of the first derivative,
Changing of independent variables and Variation of parameters |
A |
|
|
|
4 |
II |
Series
solution, Bessel’s function and Legendre’s polynomial |
B |
|
|
|
5 |
III |
Formation of
PDE, Lagrange’s PDE, Standard forms of Non-Linear PDE, and Charpit’s method |
A |
|
|
|
6 |
III |
Homogeneous
and Non-Homogeneous Linear partial differential Equations |
B |
|
|
|
7 |
IV |
Analytic
function, Harmonic function, and method to find the conjugate function |
A |
|
|
|
8 |
IV |
Complex Line
integral, Cauchy integral formula, Singularities, and Cauchy Residues theorem |
B |
|
|
|
9 |
V |
Gradient,
Divergent, Curl, and Directional Derivatives |
A |
|
|
|
10 |
V |
Vector Line
integral, Surface & Volume integral, Stoke’s theorem, Gausses’ divergence
theorem and Green theorem |
B |
|
|
Mechanical
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