label_important1. ORDINARY DIFFERENTIAL EQUATIONS I
7 Chapters | 58 Solved Problems
label_important 1.1 Linear Differential Equation
label_important1.2 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_important2. ORDINARY DIFFERENTIAL EQUATIONS II
7 Chapters | 54 Solved Problems
label_important 2.1 Linear Differential Equations of Higher Order
label_important2.2 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_important3. PARTIAL DIFFERENTIAL EQUATIONS
5 Chapters | 66 Solved Problems
label_important 3.1 Formation of PDE's by elimination of arbitrary constants
label_important3.2 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_important5.2 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