*label_important*Question Bank (15 Marks)

5 units | 71 Solved Problems

#### *label_important* 1. First Order ODE

#### *label_important*2. Ordinary Differential Equations of Higher Order

#### *label_important* 3. Multivariable Calculus (Integration)

#### *label_important* 4. Vector Differentiation

#### *label_important* 5. Vector Integration

*label_important*1. First Order ODE (9 Free Videos)

9 Chapters | 75 Solved Problems

#### *label_important* 1.1 Exact Differential Equation

#### *label_important*1.2 Linear Differential Equation

#### *label_important* 1.3 Bernoullis Equation

#### *label_important* 1.4 Newton's Law of cooling

#### *label_important* 1.5 Law of Natural Growth

#### *label_important* 1.6 Non-Linear Differential Equation

#### *label_important* 1.7 Equation Solvable for Y

#### *label_important* 1.8 Equation Solvable for X

#### *label_important* 1.9 Clairaut's Equation

*label_important*2. Ordinary Differential Equations of Higher Order (9 Free Videos)

9 Chapters | 73 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* 2.8 Cauchy's Differential Equations

#### *label_important* 2.9 Legendre Differential Equations

*label_important*3. Multivariable Calculus (Integration) (7 Free Videos)

7 Chapters | 80 Solved Problems

#### *label_important* 3.1 Double Integral

#### *label_important*3.2 Triple Integral

#### *label_important* 3.3 Change of Order of Integration

#### *label_important* 3.4 Change of Variables (Double Integral)

#### *label_important* 3.5 Change of Variables (Triple Integral)

#### *label_important* 3.6 Application of Double Integral (Area)

#### *label_important* 3.7 Application of Triple Integral (Volume)

*label_important*4. Vector Differentiation (4 Free Videos)

4 Chapters | 89 Solved Problems

#### *label_important* 4.1 Gradient

#### *label_important*4.2 Directional derivatives

#### *label_important* 4.3 Curl and Divergence

#### *label_important* 4.4 Solenoidal & Irrotational

*label_important*5. Vector Integration (6 Free Videos)

6 Chapters | 33 Solved Problems

#### *label_important* 5.1 Line Integral

#### *label_important*5.2 Surface Integral

#### *label_important* 5.3 Volume Integral

#### *label_important* 5.4 Greens Theorem

#### *label_important* 5.5 Gauss divergence Theorem

#### *label_important* 5.6 Stokes Theorem