*label_important*1. ORDINARY DIFFERENTIAL EQUATIONS I

7 Chapters | 58 Solved Problems

#### *label_important* 1.1 Linear Differential Equation

#### *label_important*1.2 Bernoulli's Equation

#### *label_important* 1.3 Exact Differential Equation

#### *label_important* 1.4 Non-Linear Differential Equation (Equation Solvable for p)variances

#### *label_important* 1.5 Equation Solvable for Y

#### *label_important* 1.6 Equation Solvable for X

#### *label_important* 1.7 Clairauts Equation

*label_important*2. ORDINARY DIFFERENTIAL EQUATIONS II

7 Chapters | 54 Solved Problems

#### *label_important* 2.1 Linear Differential Equations of Higher Order

#### *label_important*2.2 General solution of f(D)y = e^ax

#### *label_important* 2.3 General solution of f(D)y = cos ax or sin ax

#### *label_important* 2.4 General solution of f(D)y = x^m

#### *label_important* 2.5 General solution of f(D)y = e^ax . f(x)

#### *label_important* 2.6 General solution of f(D)y = x^m . f(x)

#### *label_important* 2.7 Method of variation of parameters

*label_important*3. PARTIAL DIFFERENTIAL EQUATIONS

5 Chapters | 66 Solved Problems

#### *label_important* 3.1 Formation of PDE's by elimination of arbitrary constants

#### *label_important*3.2 Formation of PDE's by elimination of arbitrary functions

#### *label_important* 3.3 Solutions of standard first order partial differential equations

#### *label_important* 3.4 First Order Linear(Lagrange's) Equation

#### *label_important* 3.5 Higher Order Partial Differential Equation

*label_important* 4. VECTOR SPACES (UPCOMING)

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*label_important* 5. VECTOR CALCULUS

10 Chapters | 65 Solved Problems

#### *label_important* 5.1 Gradient

#### *label_important*5.2 Directional derivatives

#### *label_important* 5.3 Curl & Divergence

#### *label_important* 5.4 Solenoidal & Irrotational

#### *label_important* 5.5 Line Integral

#### *label_important* 5.6 Surface Integral

#### *label_important* 5.7 Volume Integral

#### *label_important* 5.8 Greens Theorem

#### *label_important* 5.9 Gauss divergence Theorem

#### *label_important* 5.10 Stokes Theorem